Atkin-Lehner |
2+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
5978g |
Isogeny class |
Conductor |
5978 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-114825424 = -1 · 24 · 76 · 61 |
Discriminant |
Eigenvalues |
2+ 2 -1 7- -3 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,122,36] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] |
Generators of the group modulo torsion |
j |
1685159/976 |
j-invariant |
L |
3.8266196624788 |
L(r)(E,1)/r! |
Ω |
1.1126837678008 |
Real period |
R |
1.7195450195351 |
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 |
47824y1 53802cg1 122a1 |
Quadratic twists by: -4 -3 -7 |