Atkin-Lehner |
2- 3+ 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270y |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
10019524500000 = 25 · 33 · 56 · 233 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -5 -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8978,292081] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:191:1] [-35:767:1] |
Generators of the group modulo torsion |
j |
2963830756468707/371093500000 |
j-invariant |
L |
14.694290909839 |
L(r)(E,1)/r! |
Ω |
0.69918251799915 |
Real period |
R |
0.35027312932069 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126270d1 |
Quadratic twists by: -3 |