Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200ff |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-2759680000000000 = -1 · 219 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147500,-21950000] |
[a1,a2,a3,a4,a6] |
Generators |
[21318480:8803963756:125] |
Generators of the group modulo torsion |
j |
-138630825/1078 |
j-invariant |
L |
6.6236262332433 |
L(r)(E,1)/r! |
Ω |
0.12175026587778 |
Real period |
R |
13.600845434603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200n1 30800bp1 123200gp1 |
Quadratic twists by: -4 8 5 |