Atkin-Lehner |
2- 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12654r |
Isogeny class |
Conductor |
12654 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-13690577718 = -1 · 2 · 36 · 193 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -2 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,499,-3765] |
[a1,a2,a3,a4,a6] |
Generators |
[222:1291:8] |
Generators of the group modulo torsion |
j |
18884848247/18779942 |
j-invariant |
L |
5.5665926461657 |
L(r)(E,1)/r! |
Ω |
0.68337529375773 |
Real period |
R |
1.3576221579888 |
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 |
101232bd1 1406a1 |
Quadratic twists by: -4 -3 |