Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39780d |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4085683962750000 = -1 · 24 · 39 · 56 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29592,2370357] |
[a1,a2,a3,a4,a6] |
Generators |
[-22145277:413606250:456533] |
Generators of the group modulo torsion |
j |
9099874271232/12973390625 |
j-invariant |
L |
5.9365651776234 |
L(r)(E,1)/r! |
Ω |
0.29728475119179 |
Real period |
R |
9.9846446106339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39780i1 |
Quadratic twists by: -3 |