Atkin-Lehner |
2- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
32368o |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
359356786432 = 28 · 75 · 174 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ 4 -4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3564,-77848] |
[a1,a2,a3,a4,a6] |
Generators |
[79:374:1] |
Generators of the group modulo torsion |
j |
234219472/16807 |
j-invariant |
L |
5.2907553042523 |
L(r)(E,1)/r! |
Ω |
0.6206775782426 |
Real period |
R |
2.841386837931 |
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 |
8092h1 129472cp1 32368bb1 |
Quadratic twists by: -4 8 17 |