Atkin-Lehner |
2- 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720co |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-1.18410412032E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11+ -3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10083760,-12329330092] |
[a1,a2,a3,a4,a6] |
j |
-27684157359106812821041/2890879200000000 |
j-invariant |
L |
4.0666092280352 |
L(r)(E,1)/r! |
Ω |
0.042360512852821 |
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 |
7590w1 |
Quadratic twists by: -4 |