Atkin-Lehner |
2- 3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216u |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
119040 |
Modular degree for the optimal curve |
Δ |
-55548260352 = -1 · 212 · 39 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 1 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,432,10800] |
[a1,a2,a3,a4,a6] |
j |
110592/689 |
j-invariant |
L |
6.4762321511583 |
L(r)(E,1)/r! |
Ω |
0.80952902621249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6201a1 99216w1 |
Quadratic twists by: -4 -3 |