Atkin-Lehner |
2+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38962a |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
857164 = 22 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -3 7+ 11+ -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24,4] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:8:1] [-2:8:1] |
Generators of the group modulo torsion |
j |
1225043/644 |
j-invariant |
L |
4.2933212029671 |
L(r)(E,1)/r! |
Ω |
2.469689528667 |
Real period |
R |
0.4346013084977 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38962bf1 |
Quadratic twists by: -11 |