Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770f |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-16874988060937500 = -1 · 22 · 35 · 58 · 13 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,43316,5201846] |
[a1,a2,a3,a4,a6] |
Generators |
[58:2783:1] |
Generators of the group modulo torsion |
j |
8988415910631964871/16874988060937500 |
j-invariant |
L |
3.1926255899849 |
L(r)(E,1)/r! |
Ω |
0.26861528507572 |
Real period |
R |
1.1885494859628 |
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 |
50310cg3 83850bm3 |
Quadratic twists by: -3 5 |