Atkin-Lehner |
2+ 5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
63650c |
Isogeny class |
Conductor |
63650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-5092000 = -1 · 25 · 53 · 19 · 67 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 2 -1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-105,-475] |
[a1,a2,a3,a4,a6] |
Generators |
[275:4430:1] |
Generators of the group modulo torsion |
j |
-1039509197/40736 |
j-invariant |
L |
7.1856137732298 |
L(r)(E,1)/r! |
Ω |
0.74308465108355 |
Real period |
R |
4.8349900395352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63650j1 |
Quadratic twists by: 5 |