Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525f |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
36926666609765625 = 32 · 58 · 72 · 118 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-388775,92682000] |
[a1,a2,a3,a4,a6] |
j |
234770924809/1334025 |
j-invariant |
L |
1.4701170446588 |
L(r)(E,1)/r! |
Ω |
0.36752926095096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12705k2 5775i2 |
Quadratic twists by: 5 -11 |