Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
125244b |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
2630618463312 = 24 · 39 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31752,-2176335] |
[a1,a2,a3,a4,a6] |
Generators |
[11802:1281987:1] |
Generators of the group modulo torsion |
j |
95551488/71 |
j-invariant |
L |
5.7177460582121 |
L(r)(E,1)/r! |
Ω |
0.35766476206957 |
Real period |
R |
5.3287759233977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998949232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125244d1 2556a1 |
Quadratic twists by: -3 -7 |