Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28730a |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-56669754415625000 = -1 · 23 · 58 · 137 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 6 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,56330,-10246404] |
[a1,a2,a3,a4,a6] |
Generators |
[2446:46435:8] |
Generators of the group modulo torsion |
j |
4095232047999/11740625000 |
j-invariant |
L |
3.6180839602863 |
L(r)(E,1)/r! |
Ω |
0.18104217845573 |
Real period |
R |
4.9961892736102 |
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 |
2210e2 |
Quadratic twists by: 13 |