Atkin-Lehner |
2+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
4720a |
Isogeny class |
Conductor |
4720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
111392000 = 28 · 53 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-647,-6314] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:4:1] |
Generators of the group modulo torsion |
j |
117002889936/435125 |
j-invariant |
L |
3.8545616456877 |
L(r)(E,1)/r! |
Ω |
0.94682696962132 |
Real period |
R |
1.357010227972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2360a2 18880g2 42480c2 23600e2 |
Quadratic twists by: -4 8 -3 5 |