Atkin-Lehner |
2- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18352j |
Isogeny class |
Conductor |
18352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
9102592 = 28 · 312 · 37 |
Discriminant |
Eigenvalues |
2- 3 -4 -1 1 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3112,-66820] |
[a1,a2,a3,a4,a6] |
Generators |
[-870:10:27] |
Generators of the group modulo torsion |
j |
13019746000896/35557 |
j-invariant |
L |
6.47287730739 |
L(r)(E,1)/r! |
Ω |
0.63920436019523 |
Real period |
R |
2.5316149695119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4588h1 73408z1 |
Quadratic twists by: -4 8 |