Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600de |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
247808000000000 = 220 · 59 · 112 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168833,-26634463] |
[a1,a2,a3,a4,a6] |
j |
1039509197/484 |
j-invariant |
L |
4.2395488833019 |
L(r)(E,1)/r! |
Ω |
0.23553049351677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17600z2 4400y2 17600di2 |
Quadratic twists by: -4 8 5 |