Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730ch |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-85500099216000 = -1 · 27 · 32 · 53 · 72 · 594 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10291,598625] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:761:1] |
Generators of the group modulo torsion |
j |
-2459818164819841/1744899984000 |
j-invariant |
L |
12.323574186084 |
L(r)(E,1)/r! |
Ω |
0.5583175323737 |
Real period |
R |
0.39415531836876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730cc1 |
Quadratic twists by: -7 |