Atkin-Lehner |
2+ 3- 11- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104346w |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2872320 |
Modular degree for the optimal curve |
Δ |
32707948267044864 = 217 · 316 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- -6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2426841,-1454525267] |
[a1,a2,a3,a4,a6] |
Generators |
[-4403459:2500399:4913] |
Generators of the group modulo torsion |
j |
2168304418969242642577/44866870050816 |
j-invariant |
L |
2.2814294704766 |
L(r)(E,1)/r! |
Ω |
0.12095943640356 |
Real period |
R |
9.430555957482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34782q1 |
Quadratic twists by: -3 |