Atkin-Lehner |
2+ 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490z |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
38191104 |
Modular degree for the optimal curve |
Δ |
-2.3949762667612E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-108246563,861558013838] |
[a1,a2,a3,a4,a6] |
Generators |
[4779:-675740:1] |
Generators of the group modulo torsion |
j |
-3476031419581622825743/5934974454108090000 |
j-invariant |
L |
6.1301634326023 |
L(r)(E,1)/r! |
Ω |
0.049781425745864 |
Real period |
R |
0.64136239748332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98490f1 |
Quadratic twists by: -7 |