Atkin-Lehner |
2+ 3+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38376d |
Isogeny class |
Conductor |
38376 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
306825794436096 = 210 · 39 · 135 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -3 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17091,171342] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:676:1] |
Generators of the group modulo torsion |
j |
27392702796/15223013 |
j-invariant |
L |
7.9706682621437 |
L(r)(E,1)/r! |
Ω |
0.47216803331792 |
Real period |
R |
0.84404996735316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752h1 38376n1 |
Quadratic twists by: -4 -3 |