Atkin-Lehner |
2+ 3- 5- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030u |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-3.2552150543913E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,422766,861478740] |
[a1,a2,a3,a4,a6] |
Generators |
[21318:1146021:8] |
Generators of the group modulo torsion |
j |
11462933280746326751/446531557529664000 |
j-invariant |
L |
5.7151000988338 |
L(r)(E,1)/r! |
Ω |
0.12971965605634 |
Real period |
R |
7.3428862834126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20010v1 |
Quadratic twists by: -3 |