Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680h |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20567065881600 = 210 · 39 · 52 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7587,-130734] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:350:1] |
Generators of the group modulo torsion |
j |
2396308428/1020425 |
j-invariant |
L |
6.6926327796008 |
L(r)(E,1)/r! |
Ω |
0.53150958189939 |
Real period |
R |
1.5739680446627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840d2 85680d2 |
Quadratic twists by: -4 -3 |