Atkin-Lehner |
2+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
59926c |
Isogeny class |
Conductor |
59926 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
33480 |
Modular degree for the optimal curve |
Δ |
-412830214 = -1 · 2 · 192 · 833 |
Discriminant |
Eigenvalues |
2+ -2 2 -3 -4 -5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,125,-804] |
[a1,a2,a3,a4,a6] |
Generators |
[34:190:1] |
Generators of the group modulo torsion |
j |
605245247/1143574 |
j-invariant |
L |
2.0179001624183 |
L(r)(E,1)/r! |
Ω |
0.87902788358004 |
Real period |
R |
0.76520142321716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59926e1 |
Quadratic twists by: -19 |