Atkin-Lehner |
2- 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125902o |
Isogeny class |
Conductor |
125902 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
20330022073811968 = 210 · 73 · 17 · 237 |
Discriminant |
Eigenvalues |
2- 0 0 7+ -4 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1483680,-695193277] |
[a1,a2,a3,a4,a6] |
Generators |
[-699:361:1] [66271:17024111:1] |
Generators of the group modulo torsion |
j |
2439928775390625/137331712 |
j-invariant |
L |
16.273496031506 |
L(r)(E,1)/r! |
Ω |
0.13679366444787 |
Real period |
R |
23.792762771857 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474f1 |
Quadratic twists by: -23 |