Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
2950n |
Isogeny class |
Conductor |
2950 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
-755200 = -1 · 29 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 1 -5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1855,31207] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-12:1] |
Generators of the group modulo torsion |
j |
-28222529675625/30208 |
j-invariant |
L |
4.5722802032878 |
L(r)(E,1)/r! |
Ω |
2.3915698391136 |
Real period |
R |
0.21242579889991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23600i1 94400a1 26550h1 2950j1 |
Quadratic twists by: -4 8 -3 5 |