Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360hn |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-45497074218750000 = -1 · 24 · 32 · 512 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-765445,-258221650] |
[a1,a2,a3,a4,a6] |
Generators |
[241091030:456416625:238328] |
Generators of the group modulo torsion |
j |
-26348629355659264/24169921875 |
j-invariant |
L |
9.6951912242348 |
L(r)(E,1)/r! |
Ω |
0.080698808953759 |
Real period |
R |
10.011704147318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340s3 2640o3 |
Quadratic twists by: -4 -7 |