Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
7686w |
Isogeny class |
Conductor |
7686 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-12403477207408896 = -1 · 28 · 39 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,54031,2298017] |
[a1,a2,a3,a4,a6] |
Generators |
[15:1756:1] |
Generators of the group modulo torsion |
j |
23929451044753463/17014372026624 |
j-invariant |
L |
5.4370239263017 |
L(r)(E,1)/r! |
Ω |
0.25398856875419 |
Real period |
R |
0.14865673201166 |
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 |
61488bg1 2562f1 53802ca1 |
Quadratic twists by: -4 -3 -7 |