Atkin-Lehner |
2+ 3- 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030s |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
82080 |
Modular degree for the optimal curve |
Δ |
1244782080 = 29 · 36 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 1 7 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2664,53568] |
[a1,a2,a3,a4,a6] |
j |
2868735731329/1707520 |
j-invariant |
L |
1.5160317032351 |
L(r)(E,1)/r! |
Ω |
1.5160317029503 |
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 |
6670f1 |
Quadratic twists by: -3 |