Atkin-Lehner |
2- 3- 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030bn |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
33609116160000 = 212 · 39 · 54 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8177,58529] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:136:1] |
Generators of the group modulo torsion |
j |
82933192515529/46103040000 |
j-invariant |
L |
9.8176259766958 |
L(r)(E,1)/r! |
Ω |
0.56766379159717 |
Real period |
R |
1.4412324868416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20010l1 |
Quadratic twists by: -3 |