Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60760j |
Isogeny class |
Conductor |
60760 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
2552983300000000000 = 211 · 511 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 3 -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-790680,-259728400] |
[a1,a2,a3,a4,a6] |
j |
226886329763858/10595703125 |
j-invariant |
L |
3.5324544345011 |
L(r)(E,1)/r! |
Ω |
0.16056611073638 |
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 |
121520n1 8680b1 |
Quadratic twists by: -4 -7 |