Atkin-Lehner |
2- 3+ 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670o |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
87495155297640 = 23 · 38 · 5 · 192 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78635,-8508175] |
[a1,a2,a3,a4,a6] |
Generators |
[825:21700:1] |
Generators of the group modulo torsion |
j |
53773924202248526641/87495155297640 |
j-invariant |
L |
7.2461380063016 |
L(r)(E,1)/r! |
Ω |
0.28512677053682 |
Real period |
R |
4.2356235629617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010g4 88350z4 |
Quadratic twists by: -3 5 |