Atkin-Lehner |
2+ 7+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12614a |
Isogeny class |
Conductor |
12614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-24730705664 = -1 · 28 · 7 · 173 · 532 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 0 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,434,-6828] |
[a1,a2,a3,a4,a6] |
Generators |
[301:5077:1] |
Generators of the group modulo torsion |
j |
9028797181767/24730705664 |
j-invariant |
L |
3.530977993092 |
L(r)(E,1)/r! |
Ω |
0.61460364522617 |
Real period |
R |
5.7451302486054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100912q1 113526z1 88298m1 |
Quadratic twists by: -4 -3 -7 |