Atkin-Lehner |
2+ 3- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966k |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4177920 |
Modular degree for the optimal curve |
Δ |
4.2335890702883E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20396628,-34040527664] |
[a1,a2,a3,a4,a6] |
Generators |
[-1312511716:-5677398931:438976] |
Generators of the group modulo torsion |
j |
1287274959497562037998913/58073924146616598528 |
j-invariant |
L |
2.8060683909487 |
L(r)(E,1)/r! |
Ω |
0.071239458714362 |
Real period |
R |
9.8473108919955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322g1 |
Quadratic twists by: -3 |