Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592bp |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
28133568 = 26 · 38 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-795,8624] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:36:1] |
Generators of the group modulo torsion |
j |
1191016000/603 |
j-invariant |
L |
5.7698416766264 |
L(r)(E,1)/r! |
Ω |
2.0743529210897 |
Real period |
R |
2.7815139930942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592cb1 19296r2 12864x1 |
Quadratic twists by: -4 8 -3 |