Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360bo |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-3309899264000 = -1 · 212 · 53 · 7 · 314 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -1 7 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13312,597616] |
[a1,a2,a3,a4,a6] |
Generators |
[57:155:1] |
Generators of the group modulo torsion |
j |
-63693291257856/808080875 |
j-invariant |
L |
3.3362246391804 |
L(r)(E,1)/r! |
Ω |
0.79763680181925 |
Real period |
R |
0.34855302475712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1085d1 69440cy1 86800bj1 121520bo1 |
Quadratic twists by: -4 8 5 -7 |