Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bu |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-269819232256 = -1 · 214 · 74 · 193 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -1 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,784,23520] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:133:1] |
Generators of the group modulo torsion |
j |
1354752/6859 |
j-invariant |
L |
3.4572404196142 |
L(r)(E,1)/r! |
Ω |
0.7046455703992 |
Real period |
R |
0.5451504139327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584b1 14896a1 59584cf1 |
Quadratic twists by: -4 8 -7 |