Atkin-Lehner |
2+ 3- 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cc |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1524096 |
Modular degree for the optimal curve |
Δ |
-349905123111075840 = -1 · 221 · 36 · 5 · 7 · 113 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,172746,-6845580] |
[a1,a2,a3,a4,a6] |
Generators |
[13236:386313:64] |
Generators of the group modulo torsion |
j |
782021637123203231/479979592744960 |
j-invariant |
L |
6.6744669344347 |
L(r)(E,1)/r! |
Ω |
0.17536322668822 |
Real period |
R |
6.343468726001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000103844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13090l1 |
Quadratic twists by: -3 |