Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920dz |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
3769028444160000 = 220 · 36 · 54 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42867,-1716174] |
[a1,a2,a3,a4,a6] |
j |
2917464019569/1262240000 |
j-invariant |
L |
2.7608455161147 |
L(r)(E,1)/r! |
Ω |
0.3451057359611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490bd1 12880m1 |
Quadratic twists by: -4 -3 |