Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770w |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-47926046092298400 = -1 · 25 · 36 · 52 · 13 · 436 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10744,10528553] |
[a1,a2,a3,a4,a6] |
Generators |
[87:3439:1] |
Generators of the group modulo torsion |
j |
137157381314370431/47926046092298400 |
j-invariant |
L |
4.6443646660194 |
L(r)(E,1)/r! |
Ω |
0.27761150544499 |
Real period |
R |
0.55765756280823 |
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 |
50310be2 83850v2 |
Quadratic twists by: -3 5 |