Atkin-Lehner |
2+ 3+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36378a |
Isogeny class |
Conductor |
36378 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-40734047232 = -1 · 210 · 39 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,849,1709] |
[a1,a2,a3,a4,a6] |
Generators |
[3976:45837:512] |
Generators of the group modulo torsion |
j |
3436115229/2069504 |
j-invariant |
L |
5.4048201064633 |
L(r)(E,1)/r! |
Ω |
0.70312376183631 |
Real period |
R |
7.686868798671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36378g1 |
Quadratic twists by: -3 |