Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584cn |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-15253504 = -1 · 214 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 2 2 7- -1 -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37,-195] |
[a1,a2,a3,a4,a6] |
Generators |
[2528412:11725125:103823] |
Generators of the group modulo torsion |
j |
-7168/19 |
j-invariant |
L |
9.9096095216045 |
L(r)(E,1)/r! |
Ω |
0.897350049723 |
Real period |
R |
11.043192703273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584bm1 14896v1 59584cc1 |
Quadratic twists by: -4 8 -7 |