Atkin-Lehner |
5+ 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
97825c |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
-3612186070675 = -1 · 52 · 76 · 134 · 43 |
Discriminant |
Eigenvalues |
2 -2 5+ 7+ -4 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-378,91359] |
[a1,a2,a3,a4,a6] |
Generators |
[5828:57935:64] |
Generators of the group modulo torsion |
j |
-239556259840/144487442827 |
j-invariant |
L |
5.3824518807454 |
L(r)(E,1)/r! |
Ω |
0.63867927419821 |
Real period |
R |
2.1068680710243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97825u1 |
Quadratic twists by: 5 |