Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340bk |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-751700534618880 = -1 · 28 · 33 · 5 · 711 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-281325,-57541905] |
[a1,a2,a3,a4,a6] |
Generators |
[1773:70854:1] |
Generators of the group modulo torsion |
j |
-81756451446784/24958395 |
j-invariant |
L |
7.532414086594 |
L(r)(E,1)/r! |
Ω |
0.10364763458442 |
Real period |
R |
4.0374047216136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360fp1 97020bv1 4620c1 |
Quadratic twists by: -4 -3 -7 |