Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490bp |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10475520 |
Modular degree for the optimal curve |
Δ |
-5.9211216553357E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 -1 -6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27253179,-54767015195] |
[a1,a2,a3,a4,a6] |
j |
-116142843439/30720 |
j-invariant |
L |
2.3787064611596 |
L(r)(E,1)/r! |
Ω |
0.033037591195291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28830bb1 86490bo1 |
Quadratic twists by: -3 -31 |