Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34632d |
Isogeny class |
Conductor |
34632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
1166959872 = 28 · 36 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 5 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3540,-81052] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:2:1] |
Generators of the group modulo torsion |
j |
26288512000/6253 |
j-invariant |
L |
6.6377501769189 |
L(r)(E,1)/r! |
Ω |
0.61894910344982 |
Real period |
R |
1.3405282720183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69264j1 3848b1 |
Quadratic twists by: -4 -3 |