Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752cc |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-18650736 = -1 · 24 · 37 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 3 -2 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129,-601] |
[a1,a2,a3,a4,a6] |
j |
-20353792/1599 |
j-invariant |
L |
1.4102620910285 |
L(r)(E,1)/r! |
Ω |
0.70513104845902 |
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 |
19188n1 25584n1 |
Quadratic twists by: -4 -3 |