Atkin-Lehner |
2- 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
31160j |
Isogeny class |
Conductor |
31160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-28121900000000 = -1 · 28 · 58 · 193 · 41 |
Discriminant |
Eigenvalues |
2- 1 5- 2 6 -3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,535,255275] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:250:1] |
Generators of the group modulo torsion |
j |
66028749824/109851171875 |
j-invariant |
L |
7.9691610994376 |
L(r)(E,1)/r! |
Ω |
0.52100210003253 |
Real period |
R |
0.9559895606635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62320k1 |
Quadratic twists by: -4 |