Atkin-Lehner |
2- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4240g |
Isogeny class |
Conductor |
4240 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-2170880000000000 = -1 · 222 · 510 · 53 |
Discriminant |
Eigenvalues |
2- 3 5- 2 0 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19613,-1976734] |
[a1,a2,a3,a4,a6] |
j |
203702260843719/530000000000 |
j-invariant |
L |
4.7709466433675 |
L(r)(E,1)/r! |
Ω |
0.23854733216837 |
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 |
530c1 16960n1 38160bg1 21200m1 |
Quadratic twists by: -4 8 -3 5 |