Atkin-Lehner |
2+ 3- 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590u |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
99072 |
Modular degree for the optimal curve |
Δ |
-158124955140 = -1 · 22 · 315 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 5 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6264,-190220] |
[a1,a2,a3,a4,a6] |
j |
-37289832236929/216906660 |
j-invariant |
L |
2.1458153231615 |
L(r)(E,1)/r! |
Ω |
0.26822691538205 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16530u1 |
Quadratic twists by: -3 |