Atkin-Lehner |
2+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38896b |
Isogeny class |
Conductor |
38896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
15039994112 = 28 · 112 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 11+ 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-911,-8786] |
[a1,a2,a3,a4,a6] |
Generators |
[94:858:1] |
Generators of the group modulo torsion |
j |
326617069392/58749977 |
j-invariant |
L |
5.5790427052368 |
L(r)(E,1)/r! |
Ω |
0.87974350645844 |
Real period |
R |
1.5854174154965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19448d1 |
Quadratic twists by: -4 |