Atkin-Lehner |
7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27209a |
Isogeny class |
Conductor |
27209 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-585612268875179 = -1 · 74 · 139 · 23 |
Discriminant |
Eigenvalues |
0 1 3 7+ -3 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7383159,7719213259] |
[a1,a2,a3,a4,a6] |
Generators |
[-2999:53826:1] |
Generators of the group modulo torsion |
j |
-9221261135586623488/121324931 |
j-invariant |
L |
5.8343559036758 |
L(r)(E,1)/r! |
Ω |
0.36520544961623 |
Real period |
R |
1.9969430596554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2093g1 |
Quadratic twists by: 13 |