Atkin-Lehner |
2+ 3+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
80592c |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-282394368 = -1 · 28 · 32 · 23 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-284,-1920] |
[a1,a2,a3,a4,a6] |
Generators |
[32:144:1] |
Generators of the group modulo torsion |
j |
-9930407632/1103103 |
j-invariant |
L |
2.8714516517966 |
L(r)(E,1)/r! |
Ω |
0.577700090102 |
Real period |
R |
2.4852442467022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40296g1 |
Quadratic twists by: -4 |