Atkin-Lehner |
2- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87400j |
Isogeny class |
Conductor |
87400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-1098071750000 = -1 · 24 · 56 · 192 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 0 7 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1192,-48263] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-437:1] |
Generators of the group modulo torsion |
j |
748596992/4392287 |
j-invariant |
L |
5.3450572847803 |
L(r)(E,1)/r! |
Ω |
0.43624875599194 |
Real period |
R |
0.51051313498802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3496a1 |
Quadratic twists by: 5 |