Atkin-Lehner |
2- 3+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13566l |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-280217554681806 = -1 · 2 · 312 · 7 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,16096,182351] |
[a1,a2,a3,a4,a6] |
Generators |
[-2334:19519:216] |
Generators of the group modulo torsion |
j |
461185788415532543/280217554681806 |
j-invariant |
L |
5.6985096764744 |
L(r)(E,1)/r! |
Ω |
0.33763681878324 |
Real period |
R |
8.4388155548473 |
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 |
108528be3 40698m3 94962cg3 |
Quadratic twists by: -4 -3 -7 |