Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648bh |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
820800 |
Modular degree for the optimal curve |
Δ |
-6460279991579882496 = -1 · 210 · 3 · 73 · 1910 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43440,122323152] |
[a1,a2,a3,a4,a6] |
j |
-1444/1029 |
j-invariant |
L |
3.4599958962621 |
L(r)(E,1)/r! |
Ω |
0.19222199426288 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121296p1 60648d1 |
Quadratic twists by: -4 -19 |