Atkin-Lehner |
2- 3- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
72048u |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-58599041993328 = -1 · 24 · 3 · 195 · 793 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 2 0 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20878,-1225129] |
[a1,a2,a3,a4,a6] |
j |
-62905875429856000/3662440124583 |
j-invariant |
L |
2.3749952353525 |
L(r)(E,1)/r! |
Ω |
0.19791627271336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18012b1 |
Quadratic twists by: -4 |