Atkin-Lehner |
2- 3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464bl |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4704000 |
Modular degree for the optimal curve |
Δ |
2.2213443154076E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 5 13+ 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3285413,333137427] |
[a1,a2,a3,a4,a6] |
Generators |
[-1247654:208582335:6859] |
Generators of the group modulo torsion |
j |
957489037049050624000/542320389503807733 |
j-invariant |
L |
9.0497499844817 |
L(r)(E,1)/r! |
Ω |
0.12574696567182 |
Real period |
R |
11.994656541001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6279b1 |
Quadratic twists by: -4 |