Atkin-Lehner |
2- 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106128u |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-820416985344 = -1 · 28 · 33 · 116 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 11+ -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2169,19682] |
[a1,a2,a3,a4,a6] |
j |
163267084944/118694587 |
j-invariant |
L |
2.2727423927323 |
L(r)(E,1)/r! |
Ω |
0.5681856503291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26532b1 106128y2 |
Quadratic twists by: -4 -3 |