Atkin-Lehner |
3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18525m |
Isogeny class |
Conductor |
18525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-85931396484375 = -1 · 3 · 514 · 13 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2124,-444227] |
[a1,a2,a3,a4,a6] |
Generators |
[7413593:-557029718:1331] |
Generators of the group modulo torsion |
j |
67867385039/5499609375 |
j-invariant |
L |
6.8930420426508 |
L(r)(E,1)/r! |
Ω |
0.28824491469852 |
Real period |
R |
11.956918736728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55575m1 3705e1 |
Quadratic twists by: -3 5 |