Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596n |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-102471692544 = -1 · 28 · 38 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 4 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,897,11414] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:38:1] |
Generators of the group modulo torsion |
j |
2530736/3249 |
j-invariant |
L |
6.0130211365467 |
L(r)(E,1)/r! |
Ω |
0.71355428329225 |
Real period |
R |
2.1067146661758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38532b1 115596u1 |
Quadratic twists by: -3 13 |