Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cr |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
2.2254819615361E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -4 5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-708345,-34031481] |
[a1,a2,a3,a4,a6] |
Generators |
[-237:11100:1] |
Generators of the group modulo torsion |
j |
5764801/3264 |
j-invariant |
L |
10.027754721893 |
L(r)(E,1)/r! |
Ω |
0.17750497272669 |
Real period |
R |
2.3538670895039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966dl1 4998bj1 |
Quadratic twists by: -7 17 |