Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34848a |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
4074533610048 = 26 · 33 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3993,0] |
[a1,a2,a3,a4,a6] |
Generators |
[675:17460:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
7.4681099701085 |
L(r)(E,1)/r! |
Ω |
0.65970137361491 |
Real period |
R |
5.6602201153422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34848a1 69696ea2 34848bh1 34848bg1 |
Quadratic twists by: -4 8 -3 -11 |