Atkin-Lehner |
2+ 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63920a |
Isogeny class |
Conductor |
63920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-511360000 = -1 · 210 · 54 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 4 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,200,0] |
[a1,a2,a3,a4,a6] |
j |
859687196/499375 |
j-invariant |
L |
3.9766990449348 |
L(r)(E,1)/r! |
Ω |
0.99417476273357 |
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 |
31960a1 |
Quadratic twists by: -4 |