Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24864x |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-12853805775552 = -1 · 26 · 37 · 72 · 374 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-278,-172596] |
[a1,a2,a3,a4,a6] |
j |
-37259704000/200840715243 |
j-invariant |
L |
4.5152301516975 |
L(r)(E,1)/r! |
Ω |
0.32251643940696 |
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 |
24864b1 49728x2 74592m1 |
Quadratic twists by: -4 8 -3 |