Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730cj |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
456 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
2436431082946560 = 219 · 38 · 5 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3019185,2018962665] |
[a1,a2,a3,a4,a6] |
Generators |
[522:23931:1] |
Generators of the group modulo torsion |
j |
1267654015660041499441/1014756802560 |
j-invariant |
L |
13.518460944153 |
L(r)(E,1)/r! |
Ω |
0.3818070122498 |
Real period |
R |
0.077645896269941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730bv1 |
Quadratic twists by: -7 |