Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24402i |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
367471474944 = 28 · 3 · 78 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12717,550120] |
[a1,a2,a3,a4,a6] |
Generators |
[662:1723:8] |
Generators of the group modulo torsion |
j |
1933038007993/3123456 |
j-invariant |
L |
4.6592030506863 |
L(r)(E,1)/r! |
Ω |
0.95421268994749 |
Real period |
R |
2.4413860241906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73206br1 3486c1 |
Quadratic twists by: -3 -7 |