Atkin-Lehner |
2+ 7- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
76538o |
Isogeny class |
Conductor |
76538 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
8488217276 = 22 · 72 · 112 · 713 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-711,-6103] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1115:1] |
Generators of the group modulo torsion |
j |
812999904073/173228924 |
j-invariant |
L |
9.15328907933 |
L(r)(E,1)/r! |
Ω |
0.93832990780559 |
Real period |
R |
0.81290608289548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76538f1 |
Quadratic twists by: -7 |