Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944f |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-1562357808 = -1 · 24 · 39 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,270,-837] |
[a1,a2,a3,a4,a6] |
Generators |
[20855:270656:125] |
Generators of the group modulo torsion |
j |
6912000/4961 |
j-invariant |
L |
7.0950466301643 |
L(r)(E,1)/r! |
Ω |
0.84642479621419 |
Real period |
R |
8.3823709585084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32472j1 64944a1 |
Quadratic twists by: -4 -3 |