Atkin-Lehner |
3- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105963u |
Isogeny class |
Conductor |
105963 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
790272 |
Modular degree for the optimal curve |
Δ |
42608815732197 = 32 · 11 · 137 · 193 |
Discriminant |
Eigenvalues |
-2 3- -4 -3 11- 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16280,-740710] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:253:1] |
Generators of the group modulo torsion |
j |
98867482624/8827533 |
j-invariant |
L |
2.4034474204641 |
L(r)(E,1)/r! |
Ω |
0.42506394112623 |
Real period |
R |
0.70678996722895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999513764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8151e1 |
Quadratic twists by: 13 |