Atkin-Lehner |
2+ 3+ 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590f |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
216576 |
Modular degree for the optimal curve |
Δ |
-5781340258560 = -1 · 28 · 33 · 5 · 193 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -6 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18510,980820] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1434:1] |
Generators of the group modulo torsion |
j |
-25977203821602747/214123713280 |
j-invariant |
L |
3.1945715278871 |
L(r)(E,1)/r! |
Ω |
0.76259618714255 |
Real period |
R |
1.0472683910965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
49590bi2 |
Quadratic twists by: -3 |