Atkin-Lehner |
2- 3+ 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
31476a |
Isogeny class |
Conductor |
31476 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
-195914083560192 = -1 · 28 · 314 · 43 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -3 -1 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25277,-1678647] |
[a1,a2,a3,a4,a6] |
Generators |
[5338:133407:8] |
Generators of the group modulo torsion |
j |
-6977141221285888/765289388907 |
j-invariant |
L |
4.7851151920671 |
L(r)(E,1)/r! |
Ω |
0.18815189394627 |
Real period |
R |
2.1193493776513 |
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 |
125904v1 94428e1 |
Quadratic twists by: -4 -3 |