Atkin-Lehner |
2+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48734a |
Isogeny class |
Conductor |
48734 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
778800 |
Modular degree for the optimal curve |
Δ |
-1940511063378706336 = -1 · 25 · 7 · 599 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12836,-67020944] |
[a1,a2,a3,a4,a6] |
j |
-27/224 |
j-invariant |
L |
0.23908277221421 |
L(r)(E,1)/r! |
Ω |
0.1195413864507 |
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 |
48734d1 |
Quadratic twists by: -59 |