Atkin-Lehner |
2+ 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880v |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
2214078720 = 28 · 3 · 5 · 73 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1660,25388] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3840:1] |
Generators of the group modulo torsion |
j |
1977286530256/8648745 |
j-invariant |
L |
8.084296721195 |
L(r)(E,1)/r! |
Ω |
1.4688558532799 |
Real period |
R |
5.5038053615382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440h1 |
Quadratic twists by: -4 |