Atkin-Lehner |
2+ 3+ 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71910a |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
61261150122000 = 24 · 33 · 53 · 176 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20019,1028133] |
[a1,a2,a3,a4,a6] |
Generators |
[7:939:1] |
Generators of the group modulo torsion |
j |
32862400907974443/2268931486000 |
j-invariant |
L |
4.6829842707017 |
L(r)(E,1)/r! |
Ω |
0.61121926318585 |
Real period |
R |
3.8308546154588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996498 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
71910v3 |
Quadratic twists by: -3 |