Atkin-Lehner |
2- 3- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158bk |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7907328 |
Modular degree for the optimal curve |
Δ |
2.6082449256368E+23 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -3 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27359582,49304938673] |
[a1,a2,a3,a4,a6] |
Generators |
[-277315851:9611033005:50653] |
Generators of the group modulo torsion |
j |
3106880453184523246867609/357783940416575730876 |
j-invariant |
L |
9.8017648042261 |
L(r)(E,1)/r! |
Ω |
0.095015372621327 |
Real period |
R |
12.894972326415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386h1 |
Quadratic twists by: -3 |