Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3264v |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-7138368 = -1 · 26 · 38 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4,130] |
[a1,a2,a3,a4,a6] |
Generators |
[11:36:1] |
Generators of the group modulo torsion |
j |
-140608/111537 |
j-invariant |
L |
2.5321361770573 |
L(r)(E,1)/r! |
Ω |
1.9051119775704 |
Real period |
R |
2.6582544300483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3264bd1 1632l4 9792bl1 81600hv1 |
Quadratic twists by: -4 8 -3 5 |