Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23534p |
Isogeny class |
Conductor |
23534 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
103320 |
Modular degree for the optimal curve |
Δ |
111788953207694 = 2 · 7 · 418 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 3 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24410,1374870] |
[a1,a2,a3,a4,a6] |
Generators |
[3594402:21594:50653] |
Generators of the group modulo torsion |
j |
201433/14 |
j-invariant |
L |
2.2837561911696 |
L(r)(E,1)/r! |
Ω |
0.58124996803024 |
Real period |
R |
11.78712937693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
23534f1 |
Quadratic twists by: 41 |