Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490b |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-21661231341872520 = -1 · 23 · 39 · 5 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -5 0 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14595,7117181] |
[a1,a2,a3,a4,a6] |
j |
-19683/1240 |
j-invariant |
L |
1.2633219417455 |
L(r)(E,1)/r! |
Ω |
0.31583050560964 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490cc1 2790b1 |
Quadratic twists by: -3 -31 |