Atkin-Lehner |
2- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89570be |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-719409237464320 = -1 · 28 · 5 · 139 · 53 |
Discriminant |
Eigenvalues |
2- -2 5- 2 5 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6510,-1306748] |
[a1,a2,a3,a4,a6] |
j |
-6321363049/149044480 |
j-invariant |
L |
3.5142099196547 |
L(r)(E,1)/r! |
Ω |
0.21963812127475 |
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 |
6890b1 |
Quadratic twists by: 13 |