Atkin-Lehner |
2+ 3+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
27984a |
Isogeny class |
Conductor |
27984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
111740112 = 24 · 32 · 114 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-199,-890] |
[a1,a2,a3,a4,a6] |
j |
54744881152/6983757 |
j-invariant |
L |
1.2812542702313 |
L(r)(E,1)/r! |
Ω |
1.2812542702316 |
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 |
13992c1 111936i1 83952f1 |
Quadratic twists by: -4 8 -3 |