Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648h |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
72982839745872 = 24 · 36 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12755,376416] |
[a1,a2,a3,a4,a6] |
j |
304900096/96957 |
j-invariant |
L |
1.135398670252 |
L(r)(E,1)/r! |
Ω |
0.56769933456103 |
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 |
121296bp1 3192o1 |
Quadratic twists by: -4 -19 |