Atkin-Lehner |
2- 5+ 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
118450m |
Isogeny class |
Conductor |
118450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
109824 |
Modular degree for the optimal curve |
Δ |
-8513593750 = -1 · 2 · 57 · 232 · 103 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 5 -5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,-4458] |
[a1,a2,a3,a4,a6] |
Generators |
[646:5427:8] |
Generators of the group modulo torsion |
j |
-4826809/544870 |
j-invariant |
L |
6.319891734274 |
L(r)(E,1)/r! |
Ω |
0.5790431787218 |
Real period |
R |
2.7285925907102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23690a1 |
Quadratic twists by: 5 |