Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66470j |
Isogeny class |
Conductor |
66470 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-1356682237606250 = -1 · 2 · 55 · 177 · 232 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 -2 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40032,3539314] |
[a1,a2,a3,a4,a6] |
Generators |
[273:-3749:1] |
Generators of the group modulo torsion |
j |
-293946977449/56206250 |
j-invariant |
L |
4.4405351543379 |
L(r)(E,1)/r! |
Ω |
0.46200857356649 |
Real period |
R |
0.24028423976728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910a1 |
Quadratic twists by: 17 |