Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63536bh |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
3060845665501184 = 214 · 11 · 198 |
Discriminant |
Eigenvalues |
2- -2 1 3 11- 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43440,-2263724] |
[a1,a2,a3,a4,a6] |
Generators |
[-4380:40139:64] |
Generators of the group modulo torsion |
j |
130321/44 |
j-invariant |
L |
5.4432947421113 |
L(r)(E,1)/r! |
Ω |
0.33971654619127 |
Real period |
R |
8.0115243179293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942m1 63536bp1 |
Quadratic twists by: -4 -19 |