Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880bw |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
18081000000000000 = 212 · 32 · 512 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89360,8020992] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:4200:1] |
Generators of the group modulo torsion |
j |
19266290507575441/4414306640625 |
j-invariant |
L |
6.6927644327929 |
L(r)(E,1)/r! |
Ω |
0.36534376301379 |
Real period |
R |
0.38164766028506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4305i1 |
Quadratic twists by: -4 |