Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125048v |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-85815868644352 = -1 · 210 · 77 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10045,220206] |
[a1,a2,a3,a4,a6] |
Generators |
[35:784:1] |
Generators of the group modulo torsion |
j |
930433500/712327 |
j-invariant |
L |
4.3335308228764 |
L(r)(E,1)/r! |
Ω |
0.38830385810039 |
Real period |
R |
1.3950192195896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000143416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17864k1 |
Quadratic twists by: -7 |