Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360cq |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-99043596288000 = -1 · 214 · 312 · 53 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11279,-125521] |
[a1,a2,a3,a4,a6] |
j |
9684496745264/6045141375 |
j-invariant |
L |
4.139796416777 |
L(r)(E,1)/r! |
Ω |
0.344983037258 |
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 |
87360eg1 10920f1 |
Quadratic twists by: -4 8 |