Atkin-Lehner |
3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
73101j |
Isogeny class |
Conductor |
73101 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
417600 |
Modular degree for the optimal curve |
Δ |
365831768268393 = 3 · 72 · 597 |
Discriminant |
Eigenvalues |
1 3- 4 7- 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20959,-720811] |
[a1,a2,a3,a4,a6] |
j |
24137569/8673 |
j-invariant |
L |
7.3553917212787 |
L(r)(E,1)/r! |
Ω |
0.4086328757606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1239a1 |
Quadratic twists by: -59 |