Atkin-Lehner |
2+ 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
117242c |
Isogeny class |
Conductor |
117242 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-832421652542416 = -1 · 24 · 318 · 61 |
Discriminant |
Eigenvalues |
2+ 0 -3 -3 3 -3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-126071,-17253779] |
[a1,a2,a3,a4,a6] |
Generators |
[411:275:1] |
Generators of the group modulo torsion |
j |
-249689960073/937936 |
j-invariant |
L |
3.0286331678498 |
L(r)(E,1)/r! |
Ω |
0.12665371906071 |
Real period |
R |
2.9890882931624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999221131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3782a1 |
Quadratic twists by: -31 |