Atkin-Lehner |
2+ 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638g |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-7354974271169115584 = -1 · 26 · 711 · 17 · 434 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 6 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,50069,130397637] |
[a1,a2,a3,a4,a6] |
Generators |
[-185708416:-23378729137:2097152] |
Generators of the group modulo torsion |
j |
117987865826823/62516249786816 |
j-invariant |
L |
5.2896003477392 |
L(r)(E,1)/r! |
Ω |
0.18305698891158 |
Real period |
R |
14.447960654976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10234a1 |
Quadratic twists by: -7 |