Atkin-Lehner |
3- 7+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85491i |
Isogeny class |
Conductor |
85491 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
465920 |
Modular degree for the optimal curve |
Δ |
1289839721180913 = 313 · 72 · 234 · 59 |
Discriminant |
Eigenvalues |
-1 3- 4 7+ 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35303,-1870626] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:645:1] |
Generators of the group modulo torsion |
j |
6674511548192041/1769327463897 |
j-invariant |
L |
5.8780921954822 |
L(r)(E,1)/r! |
Ω |
0.35517208726386 |
Real period |
R |
2.0687479429152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28497b1 |
Quadratic twists by: -3 |