Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9792x |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-457884390703104 = -1 · 214 · 39 · 175 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 -1 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18384,373408] |
[a1,a2,a3,a4,a6] |
Generators |
[377:7803:1] |
Generators of the group modulo torsion |
j |
57530252288/38336139 |
j-invariant |
L |
5.2919526740832 |
L(r)(E,1)/r! |
Ω |
0.33087998674874 |
Real period |
R |
0.79967856715699 |
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 |
9792cb1 1224e1 3264n1 |
Quadratic twists by: -4 8 -3 |