Atkin-Lehner |
2+ 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125426j |
Isogeny class |
Conductor |
125426 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-5698877520551595296 = -1 · 25 · 77 · 178 · 31 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,316883,-91943107] |
[a1,a2,a3,a4,a6] |
Generators |
[8909:838125:1] |
Generators of the group modulo torsion |
j |
145789036355591/236099895584 |
j-invariant |
L |
5.4662139201164 |
L(r)(E,1)/r! |
Ω |
0.12661597920554 |
Real period |
R |
1.5418427181274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378f1 |
Quadratic twists by: 17 |