Atkin-Lehner |
2- 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53998o |
Isogeny class |
Conductor |
53998 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101952 |
Modular degree for the optimal curve |
Δ |
-950843114284 = -1 · 22 · 72 · 193 · 294 |
Discriminant |
Eigenvalues |
2- -2 3 7- 5 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2386,13936] |
[a1,a2,a3,a4,a6] |
j |
30656853177167/19404961516 |
j-invariant |
L |
4.3841761367409 |
L(r)(E,1)/r! |
Ω |
0.54802201701033 |
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 |
53998k1 |
Quadratic twists by: -7 |