Atkin-Lehner |
2- 3+ 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42456g |
Isogeny class |
Conductor |
42456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
542336 |
Modular degree for the optimal curve |
Δ |
-7466914187244058608 = -1 · 24 · 319 · 29 · 614 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 5 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148908,133367625] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:11651:1] |
Generators of the group modulo torsion |
j |
-22822369783636000000/466682136702753663 |
j-invariant |
L |
5.1647048901932 |
L(r)(E,1)/r! |
Ω |
0.19746479856905 |
Real period |
R |
3.2693832822496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84912f1 127368b1 |
Quadratic twists by: -4 -3 |