Atkin-Lehner |
2- 3- 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
125904w |
Isogeny class |
Conductor |
125904 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
18130176 = 28 · 33 · 43 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 0 4 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69,63] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:6:1] |
Generators of the group modulo torsion |
j |
143982592/70821 |
j-invariant |
L |
13.1044859704 |
L(r)(E,1)/r! |
Ω |
1.9362303428014 |
Real period |
R |
1.1280067998311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31476b1 |
Quadratic twists by: -4 |