Atkin-Lehner |
2+ 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125426h |
Isogeny class |
Conductor |
125426 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
4201468376120946532 = 22 · 75 · 1710 · 31 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -2 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3192637,-2192683311] |
[a1,a2,a3,a4,a6] |
Generators |
[-1008:1239:1] |
Generators of the group modulo torsion |
j |
149100427176359625/174063443428 |
j-invariant |
L |
3.7536759624306 |
L(r)(E,1)/r! |
Ω |
0.11295165677824 |
Real period |
R |
3.3232588467188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000095992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378e1 |
Quadratic twists by: 17 |