Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608f |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-190898493217535664 = -1 · 24 · 314 · 113 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-328674,75511415] |
[a1,a2,a3,a4,a6] |
Generators |
[3801:152810:27] |
Generators of the group modulo torsion |
j |
-336645064644892672/16366468897251 |
j-invariant |
L |
7.0869173821629 |
L(r)(E,1)/r! |
Ω |
0.3153900626434 |
Real period |
R |
5.6175813869528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29304e1 19536g1 |
Quadratic twists by: -4 -3 |