Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360hx |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
324842016746016000 = 28 · 33 · 53 · 710 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5295005,-4691413497] |
[a1,a2,a3,a4,a6] |
j |
227040091070464/4492125 |
j-invariant |
L |
5.3743641500578 |
L(r)(E,1)/r! |
Ω |
0.0995252941391 |
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 |
32340m2 129360do2 |
Quadratic twists by: -4 -7 |