Atkin-Lehner |
2- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49300t |
Isogeny class |
Conductor |
49300 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
91728 |
Modular degree for the optimal curve |
Δ |
118998215170000 = 24 · 54 · 177 · 29 |
Discriminant |
Eigenvalues |
2- 1 5- 2 3 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12533,-131512] |
[a1,a2,a3,a4,a6] |
Generators |
[-854:289:8] |
Generators of the group modulo torsion |
j |
21773261209600/11899821517 |
j-invariant |
L |
7.846151896075 |
L(r)(E,1)/r! |
Ω |
0.48186691269686 |
Real period |
R |
2.3261170517369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49300d1 |
Quadratic twists by: 5 |