Atkin-Lehner |
2- 3+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770n |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1208320 |
Modular degree for the optimal curve |
Δ |
3052883173416960000 = 216 · 3 · 54 · 132 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9215761,-10771756561] |
[a1,a2,a3,a4,a6] |
j |
86560015391729762216223889/3052883173416960000 |
j-invariant |
L |
1.3863971448204 |
L(r)(E,1)/r! |
Ω |
0.086649821551275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310r1 83850ba1 |
Quadratic twists by: -3 5 |