Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648bj |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-129782410545131568 = -1 · 24 · 33 · 72 · 1910 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,115761,8441370] |
[a1,a2,a3,a4,a6] |
j |
227910944768/172414683 |
j-invariant |
L |
2.5276804902432 |
L(r)(E,1)/r! |
Ω |
0.21064004088776 |
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 |
121296u1 3192b1 |
Quadratic twists by: -4 -19 |