Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
95922f |
Isogeny class |
Conductor |
95922 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1363968 |
Modular degree for the optimal curve |
Δ |
1159711706940726672 = 24 · 38 · 737 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-264785,8174769] |
[a1,a2,a3,a4,a6] |
Generators |
[8993:846894:1] |
Generators of the group modulo torsion |
j |
18609625/10512 |
j-invariant |
L |
13.159532055008 |
L(r)(E,1)/r! |
Ω |
0.23632366171023 |
Real period |
R |
6.9605451063562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990437 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31974a1 1314d1 |
Quadratic twists by: -3 73 |