Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648z |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-3235572562066992 = -1 · 24 · 35 · 72 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13237,-2677644] |
[a1,a2,a3,a4,a6] |
j |
340736000/4298427 |
j-invariant |
L |
0.87910380255493 |
L(r)(E,1)/r! |
Ω |
0.21977595114552 |
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 |
121296ba1 3192h1 |
Quadratic twists by: -4 -19 |