Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360u |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
35553280 = 215 · 5 · 7 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 5 -5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,256] |
[a1,a2,a3,a4,a6] |
Generators |
[0:16:1] |
Generators of the group modulo torsion |
j |
24137569/8680 |
j-invariant |
L |
3.3892280426211 |
L(r)(E,1)/r! |
Ω |
1.8895354653038 |
Real period |
R |
0.44842080300359 |
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 |
2170k1 69440di1 86800cb1 121520cl1 |
Quadratic twists by: -4 8 5 -7 |