Atkin-Lehner |
2- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638w |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-269700449984 = -1 · 26 · 78 · 17 · 43 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 0 -1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8658,313233] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:807:1] [-19:695:1] |
Generators of the group modulo torsion |
j |
-610015948641/2292416 |
j-invariant |
L |
9.3884659418069 |
L(r)(E,1)/r! |
Ω |
0.98398331778151 |
Real period |
R |
0.39755357010631 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234h1 |
Quadratic twists by: -7 |