Atkin-Lehner |
2- 3+ 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130bf |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-22773231000 = -1 · 23 · 39 · 53 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1487,23599] |
[a1,a2,a3,a4,a6] |
Generators |
[37:116:1] |
Generators of the group modulo torsion |
j |
-18462541707/1157000 |
j-invariant |
L |
9.2016224830774 |
L(r)(E,1)/r! |
Ω |
1.1854208768084 |
Real period |
R |
0.43124029560214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104130c1 |
Quadratic twists by: -3 |