Atkin-Lehner |
2+ 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38950n |
Isogeny class |
Conductor |
38950 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
2751584773750 = 2 · 54 · 19 · 415 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 2 -4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12751,-549452] |
[a1,a2,a3,a4,a6] |
Generators |
[-554:683:8] [146:767:1] |
Generators of the group modulo torsion |
j |
366798431916025/4402535638 |
j-invariant |
L |
7.13529232427 |
L(r)(E,1)/r! |
Ω |
0.4496066612136 |
Real period |
R |
1.0580051320134 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38950u2 |
Quadratic twists by: 5 |