Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600fc |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
3384115200000000 = 221 · 35 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 1 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68833,-6385537] |
[a1,a2,a3,a4,a6] |
j |
352224985/33048 |
j-invariant |
L |
5.9304066139626 |
L(r)(E,1)/r! |
Ω |
0.29652033254527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600hs1 2550g1 81600r1 |
Quadratic twists by: -4 8 5 |