Atkin-Lehner |
2+ 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53998g |
Isogeny class |
Conductor |
53998 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-78826712384 = -1 · 26 · 76 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 1 3 7- -5 7 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1447,-25238] |
[a1,a2,a3,a4,a6] |
j |
-2845178713/670016 |
j-invariant |
L |
3.0583984699924 |
L(r)(E,1)/r! |
Ω |
0.38229980876881 |
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 |
1102a1 |
Quadratic twists by: -7 |