Atkin-Lehner |
2+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
38080t |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-34938552320 = -1 · 223 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ -2 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,788,-2896] |
[a1,a2,a3,a4,a6] |
Generators |
[300:2296:27] |
Generators of the group modulo torsion |
j |
206425071/133280 |
j-invariant |
L |
10.742618849207 |
L(r)(E,1)/r! |
Ω |
0.66437798763568 |
Real period |
R |
4.0423595638066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38080bt1 1190e1 |
Quadratic twists by: -4 8 |