Atkin-Lehner |
2- 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
70700i |
Isogeny class |
Conductor |
70700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-3464300000000 = -1 · 28 · 58 · 73 · 101 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 0 6 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3667,-25537] |
[a1,a2,a3,a4,a6] |
Generators |
[17434841422:228662057153:118370771] |
Generators of the group modulo torsion |
j |
54517760/34643 |
j-invariant |
L |
7.9944252291251 |
L(r)(E,1)/r! |
Ω |
0.45440423352871 |
Real period |
R |
17.593201470837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70700f1 |
Quadratic twists by: 5 |