Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7742l |
Isogeny class |
Conductor |
7742 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
9745749508096 = 220 · 76 · 79 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 2 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20581,-1128191] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:103:1] |
Generators of the group modulo torsion |
j |
8194759433281/82837504 |
j-invariant |
L |
6.8862395160061 |
L(r)(E,1)/r! |
Ω |
0.39883929039504 |
Real period |
R |
0.86328499747172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61936v1 69678i1 158c1 |
Quadratic twists by: -4 -3 -7 |