Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
10512u |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-2413371366144 = -1 · 28 · 317 · 73 |
Discriminant |
Eigenvalues |
2- 3- -1 4 0 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-439968,112325884] |
[a1,a2,a3,a4,a6] |
j |
-50468394519494656/12931731 |
j-invariant |
L |
2.6062760363259 |
L(r)(E,1)/r! |
Ω |
0.65156900908148 |
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 |
2628b1 42048cd1 3504w1 |
Quadratic twists by: -4 8 -3 |