Atkin-Lehner |
2- 3+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12702d |
Isogeny class |
Conductor |
12702 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8768 |
Modular degree for the optimal curve |
Δ |
2210148 = 22 · 32 · 292 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1277,-18097] |
[a1,a2,a3,a4,a6] |
Generators |
[579:13630:1] |
Generators of the group modulo torsion |
j |
230312579445073/2210148 |
j-invariant |
L |
6.0975784582401 |
L(r)(E,1)/r! |
Ω |
0.79863862269315 |
Real period |
R |
3.8174828295168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101616p1 38106b1 |
Quadratic twists by: -4 -3 |