Atkin-Lehner |
2- 3- 7- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814bh |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-224402627764224 = -1 · 213 · 37 · 73 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 13+ -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1643,721595] |
[a1,a2,a3,a4,a6] |
Generators |
[75:970:1] [-65:774:1] |
Generators of the group modulo torsion |
j |
-672451615081/307822534656 |
j-invariant |
L |
15.26563620053 |
L(r)(E,1)/r! |
Ω |
0.45355112111646 |
Real period |
R |
0.10787829393186 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28938e1 |
Quadratic twists by: -3 |