Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360c |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
68884480 = 211 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1483,21978] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:186:1] |
Generators of the group modulo torsion |
j |
176123461698/33635 |
j-invariant |
L |
4.7491471782733 |
L(r)(E,1)/r! |
Ω |
1.8943376138702 |
Real period |
R |
1.2535112916252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8680h2 69440dr2 86800e2 121520j2 |
Quadratic twists by: -4 8 5 -7 |