Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560s |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1177398175334400000 = -1 · 232 · 35 · 55 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,149360,47192512] |
[a1,a2,a3,a4,a6] |
j |
89962967236397039/287450726400000 |
j-invariant |
L |
1.9356950451374 |
L(r)(E,1)/r! |
Ω |
0.19356950451374 |
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 |
570l1 18240ci1 13680be1 22800dh1 |
Quadratic twists by: -4 8 -3 5 |