Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475j |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-296054517171875 = -1 · 56 · 76 · 115 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12658,997093] |
[a1,a2,a3,a4,a6] |
Generators |
[698:5925:8] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
7.6478633463707 |
L(r)(E,1)/r! |
Ω |
0.49317002826969 |
Real period |
R |
1.5507559072889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275do2 539d2 275b2 |
Quadratic twists by: -3 5 -7 |