Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123420c |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
118068871654800 = 24 · 34 · 52 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12866,209805] |
[a1,a2,a3,a4,a6] |
Generators |
[323:5445:1] |
Generators of the group modulo torsion |
j |
68679424/34425 |
j-invariant |
L |
4.9893135794435 |
L(r)(E,1)/r! |
Ω |
0.5223096932584 |
Real period |
R |
0.79603373356552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999138562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123420m1 |
Quadratic twists by: -11 |