Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490bb |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-802267827476760000 = -1 · 26 · 36 · 54 · 317 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-571014,-171437580] |
[a1,a2,a3,a4,a6] |
j |
-31824875809/1240000 |
j-invariant |
L |
1.3862343823194 |
L(r)(E,1)/r! |
Ω |
0.086639651104165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9610b1 2790h1 |
Quadratic twists by: -3 -31 |