Atkin-Lehner |
2- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34100a |
Isogeny class |
Conductor |
34100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
145351250000 = 24 · 57 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11+ 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5300,-147375] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:25:1] |
Generators of the group modulo torsion |
j |
65858420736/581405 |
j-invariant |
L |
5.5944495751898 |
L(r)(E,1)/r! |
Ω |
0.55983741974473 |
Real period |
R |
0.83274914256067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6820a1 |
Quadratic twists by: 5 |