Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360z |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-38108672000 = -1 · 212 · 53 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -4 -2 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32,9392] |
[a1,a2,a3,a4,a6] |
j |
884736/9303875 |
j-invariant |
L |
3.6361822453305 |
L(r)(E,1)/r! |
Ω |
0.90904556133262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1085a1 69440ef1 86800bm1 121520cu1 |
Quadratic twists by: -4 8 5 -7 |