Atkin-Lehner |
2- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20650s |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
-10118500000 = -1 · 25 · 56 · 73 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3413,-77183] |
[a1,a2,a3,a4,a6] |
j |
-281397674377/647584 |
j-invariant |
L |
1.5613308785294 |
L(r)(E,1)/r! |
Ω |
0.31226617570589 |
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 |
826b1 |
Quadratic twists by: 5 |