Atkin-Lehner |
2- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950bn |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
3569280 |
Modular degree for the optimal curve |
Δ |
7243750000000000000 = 213 · 517 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 3 5+ 4 -4 -4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2087505,1154162497] |
[a1,a2,a3,a4,a6] |
Generators |
[-15027:1257500:27] |
Generators of the group modulo torsion |
j |
64385202242701944729/463600000000000 |
j-invariant |
L |
18.271983394421 |
L(r)(E,1)/r! |
Ω |
0.23670417289884 |
Real period |
R |
1.4844871205253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11590b1 |
Quadratic twists by: 5 |