Atkin-Lehner |
3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30975h |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
302720 |
Modular degree for the optimal curve |
Δ |
1000257767578125 = 311 · 59 · 72 · 59 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ -5 5 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-49208,3932693] |
[a1,a2,a3,a4,a6] |
j |
6746983387136/512131977 |
j-invariant |
L |
1.9328839537909 |
L(r)(E,1)/r! |
Ω |
0.48322098844933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92925be1 30975y1 |
Quadratic twists by: -3 5 |