Atkin-Lehner |
2+ 7+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
88816c |
Isogeny class |
Conductor |
88816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
3620850688 = 210 · 73 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ -1 13- -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-512,3568] |
[a1,a2,a3,a4,a6] |
Generators |
[6:26:1] |
Generators of the group modulo torsion |
j |
14523844612/3535987 |
j-invariant |
L |
5.3413419210245 |
L(r)(E,1)/r! |
Ω |
1.3169651746294 |
Real period |
R |
1.0139489680719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44408d1 |
Quadratic twists by: -4 |