Atkin-Lehner |
2+ 5+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550v |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2519040 |
Modular degree for the optimal curve |
Δ |
1438721313476562500 = 22 · 516 · 7 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1175626,-487319352] |
[a1,a2,a3,a4,a6] |
j |
11500340578110291601/92078164062500 |
j-invariant |
L |
1.1604648325393 |
L(r)(E,1)/r! |
Ω |
0.14505810549752 |
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 |
17710j1 |
Quadratic twists by: 5 |