Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960x |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
10764582912000 = 218 · 33 · 53 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26856,1695600] |
[a1,a2,a3,a4,a6] |
Generators |
[676:17088:1] |
Generators of the group modulo torsion |
j |
42985344527/216000 |
j-invariant |
L |
5.9067501052488 |
L(r)(E,1)/r! |
Ω |
0.72419333264838 |
Real period |
R |
4.0781582137815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000219134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870i1 126960bp1 |
Quadratic twists by: -4 -23 |