Atkin-Lehner |
3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52371f |
Isogeny class |
Conductor |
52371 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
-17380328082358131 = -1 · 36 · 115 · 236 |
Discriminant |
Eigenvalues |
2 3- 1 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-49197,-7607417] |
[a1,a2,a3,a4,a6] |
j |
-122023936/161051 |
j-invariant |
L |
6.8757680167206 |
L(r)(E,1)/r! |
Ω |
0.15279484484009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5819a2 99d2 |
Quadratic twists by: -3 -23 |