Atkin-Lehner |
2+ 7- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
124558m |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3144960 |
Modular degree for the optimal curve |
Δ |
-4035245907224068096 = -1 · 215 · 713 · 31 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- -3 -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-847039,314885061] |
[a1,a2,a3,a4,a6] |
j |
-571276676997340777/34299024277504 |
j-invariant |
L |
0.48738729180887 |
L(r)(E,1)/r! |
Ω |
0.24369353129413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17794d1 |
Quadratic twists by: -7 |