Atkin-Lehner |
2- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
32912s |
Isogeny class |
Conductor |
32912 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
-47450509336096768 = -1 · 212 · 119 · 173 |
Discriminant |
Eigenvalues |
2- -2 0 -3 11+ -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,70987,7563235] |
[a1,a2,a3,a4,a6] |
Generators |
[766:22627:1] |
Generators of the group modulo torsion |
j |
4096000/4913 |
j-invariant |
L |
1.9540343193739 |
L(r)(E,1)/r! |
Ω |
0.23940133983906 |
Real period |
R |
1.3603615868702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2057b1 32912q1 |
Quadratic twists by: -4 -11 |