Atkin-Lehner |
3+ 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64467h |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-2678797251 = -1 · 39 · 13 · 192 · 29 |
Discriminant |
Eigenvalues |
2 3+ 1 2 2 13- 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-27,-2491] |
[a1,a2,a3,a4,a6] |
Generators |
[12296:52735:512] |
Generators of the group modulo torsion |
j |
-110592/136097 |
j-invariant |
L |
16.10596971323 |
L(r)(E,1)/r! |
Ω |
0.64973035251359 |
Real period |
R |
6.1971745856684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64467f1 |
Quadratic twists by: -3 |