Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850cz |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
15406253156250000 = 24 · 311 · 59 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-147492,-20931584] |
[a1,a2,a3,a4,a6] |
Generators |
[5828:440984:1] |
Generators of the group modulo torsion |
j |
249214435757/10820304 |
j-invariant |
L |
6.7572310682965 |
L(r)(E,1)/r! |
Ω |
0.24427054866506 |
Real period |
R |
6.9157242615016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37950cg1 113850ga1 |
Quadratic twists by: -3 5 |