Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13552q |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-2688917803264 = -1 · 28 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 11- -1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10204,-401124] |
[a1,a2,a3,a4,a6] |
Generators |
[6156647055:43495030684:43243551] |
Generators of the group modulo torsion |
j |
-2141392/49 |
j-invariant |
L |
7.6135885683766 |
L(r)(E,1)/r! |
Ω |
0.2371841116009 |
Real period |
R |
16.049954857827 |
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 |
3388g1 54208ci1 121968ew1 94864dd1 |
Quadratic twists by: -4 8 -3 -7 |