Atkin-Lehner |
2- 3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782bc |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-300135174592822272 = -1 · 210 · 314 · 112 · 17 · 313 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-246057,53847513] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:8211:1] |
Generators of the group modulo torsion |
j |
-1647521141901977985553/300135174592822272 |
j-invariant |
L |
11.118127887248 |
L(r)(E,1)/r! |
Ω |
0.29500386019321 |
Real period |
R |
0.17946702831304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104346z1 |
Quadratic twists by: -3 |