Atkin-Lehner |
2+ 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622o |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
890880 |
Modular degree for the optimal curve |
Δ |
1691396318725731324 = 22 · 314 · 72 · 715 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 0 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-666864,200215476] |
[a1,a2,a3,a4,a6] |
Generators |
[90:11826:1] |
Generators of the group modulo torsion |
j |
918147147678701521/47350195087644 |
j-invariant |
L |
5.3977765435792 |
L(r)(E,1)/r! |
Ω |
0.2622887235567 |
Real period |
R |
5.1448804874857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20874bj1 62622j1 |
Quadratic twists by: -3 -7 |