Atkin-Lehner |
3- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
35955g |
Isogeny class |
Conductor |
35955 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
49510035 = 36 · 5 · 172 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 3 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158,722] |
[a1,a2,a3,a4,a6] |
Generators |
[10:3:1] |
Generators of the group modulo torsion |
j |
594823321/67915 |
j-invariant |
L |
3.5455017575339 |
L(r)(E,1)/r! |
Ω |
1.9410978810829 |
Real period |
R |
0.91327227547029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3995d1 |
Quadratic twists by: -3 |