Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408bv |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-84048392665755648 = -1 · 212 · 310 · 134 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 0 13- -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10135,13946199] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:1656:1] [826:24219:1] |
Generators of the group modulo torsion |
j |
28105555379264/20519627115663 |
j-invariant |
L |
8.8134114658039 |
L(r)(E,1)/r! |
Ω |
0.26626741797344 |
Real period |
R |
0.27583207929582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408v2 28704c1 |
Quadratic twists by: -4 8 |