Atkin-Lehner |
3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83259m |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-69835933298700459 = -1 · 36 · 115 · 296 |
Discriminant |
Eigenvalues |
-2 3- -1 -2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-78213,15249222] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:4625:1] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
2.3558478541132 |
L(r)(E,1)/r! |
Ω |
0.31280311620989 |
Real period |
R |
0.75314078816041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9251a2 99d2 |
Quadratic twists by: -3 29 |