Atkin-Lehner |
2- 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27846bp |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
2795520 |
Modular degree for the optimal curve |
Δ |
1263913546470801408 = 214 · 38 · 72 · 132 · 175 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-117399434,-489577081399] |
[a1,a2,a3,a4,a6] |
j |
245467607504992533120574297/1733763438231552 |
j-invariant |
L |
6.4211244920265 |
L(r)(E,1)/r! |
Ω |
0.045865174943043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282l1 |
Quadratic twists by: -3 |