Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728fw |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
50319360 |
Modular degree for the optimal curve |
Δ |
4.3170398162933E+27 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-414480171,745493275226] |
[a1,a2,a3,a4,a6] |
Generators |
[243301667:204829294592:343] |
Generators of the group modulo torsion |
j |
65352943209688399/35827476332544 |
j-invariant |
L |
4.4599981951276 |
L(r)(E,1)/r! |
Ω |
0.038025896870778 |
Real period |
R |
9.7740368138848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11466co1 30576cf1 91728ej1 |
Quadratic twists by: -4 -3 -7 |