Atkin-Lehner |
7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
71407g |
Isogeny class |
Conductor |
71407 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
2473752701 = 74 · 1013 |
Discriminant |
Eigenvalues |
2 2 3 7- 0 -7 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4814,-126947] |
[a1,a2,a3,a4,a6] |
Generators |
[-702286:61205:17576] |
Generators of the group modulo torsion |
j |
11977551872/2401 |
j-invariant |
L |
23.246132312286 |
L(r)(E,1)/r! |
Ω |
0.57315322402436 |
Real period |
R |
5.0697900965191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71407c1 |
Quadratic twists by: 101 |