Atkin-Lehner |
2- 3- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77832i |
Isogeny class |
Conductor |
77832 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
510442028269426944 = 28 · 320 · 233 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 2 4 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1741791,884126050] |
[a1,a2,a3,a4,a6] |
j |
3131441804230978768/2735136039681 |
j-invariant |
L |
3.5015012011512 |
L(r)(E,1)/r! |
Ω |
0.29179176631378 |
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 |
25944c1 |
Quadratic twists by: -3 |