Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496y |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
4058419904 = 26 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-604,4626] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:98:1] [25:76:1] |
Generators of the group modulo torsion |
j |
3241792/539 |
j-invariant |
L |
5.7595736747 |
L(r)(E,1)/r! |
Ω |
1.3270329370802 |
Real period |
R |
4.3401889386196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496br1 17248bg2 4928d1 |
Quadratic twists by: -4 8 -7 |