Atkin-Lehner |
2- 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38280t |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
363813120 = 28 · 34 · 5 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5860,170720] |
[a1,a2,a3,a4,a6] |
j |
86946219743056/1421145 |
j-invariant |
L |
3.1141065961014 |
L(r)(E,1)/r! |
Ω |
1.557053298039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76560f1 114840e1 |
Quadratic twists by: -4 -3 |