Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490q |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
312000 |
Modular degree for the optimal curve |
Δ |
-178709323165920 = -1 · 25 · 319 · 5 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -1 6 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1575,-643235] |
[a1,a2,a3,a4,a6] |
Generators |
[110990:679337:1000] |
Generators of the group modulo torsion |
j |
-616977841/255091680 |
j-invariant |
L |
5.2032260409047 |
L(r)(E,1)/r! |
Ω |
0.25573527263019 |
Real period |
R |
5.0865353695517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28830bc1 86490n1 |
Quadratic twists by: -3 -31 |