Atkin-Lehner |
2- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
32912r |
Isogeny class |
Conductor |
32912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-5792512 = -1 · 28 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 2 0 -1 11+ 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1173,-15079] |
[a1,a2,a3,a4,a6] |
Generators |
[2451:21230:27] |
Generators of the group modulo torsion |
j |
-524288000/17 |
j-invariant |
L |
8.169670500119 |
L(r)(E,1)/r! |
Ω |
0.40786211025826 |
Real period |
R |
5.0076179514112 |
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 |
8228b1 32912p1 |
Quadratic twists by: -4 -11 |