Atkin-Lehner |
2- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8330o |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1605658492928000000 = -1 · 220 · 56 · 78 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 1 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4691261,-3913382061] |
[a1,a2,a3,a4,a6] |
j |
-1980652037510828689/278528000000 |
j-invariant |
L |
2.0516510031747 |
L(r)(E,1)/r! |
Ω |
0.051291275079368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66640s1 74970bl1 41650c1 8330x1 |
Quadratic twists by: -4 -3 5 -7 |