Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800he |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
15867683930112000 = 220 · 3 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63128,755952] |
[a1,a2,a3,a4,a6] |
j |
461889917/263424 |
j-invariant |
L |
1.3458190626732 |
L(r)(E,1)/r! |
Ω |
0.33645476570328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7350bk1 58800jv1 8400co1 |
Quadratic twists by: -4 5 -7 |