Atkin-Lehner |
2- 3+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
128832ba |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-4.4525565859028E+20 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 11+ 3 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,326655,-1012788831] |
[a1,a2,a3,a4,a6] |
Generators |
[4417093:12820736:4913] |
Generators of the group modulo torsion |
j |
14704504384534271/1698515543328384 |
j-invariant |
L |
6.6923458418678 |
L(r)(E,1)/r! |
Ω |
0.079152507402714 |
Real period |
R |
7.0458346593688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000121721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128832v1 32208p1 |
Quadratic twists by: -4 8 |