Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2760j |
Isogeny class |
Conductor |
2760 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-184180331658240 = -1 · 210 · 35 · 5 · 236 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32040,2291328] |
[a1,a2,a3,a4,a6] |
j |
-3552342505518244/179863605135 |
j-invariant |
L |
2.8107569573156 |
L(r)(E,1)/r! |
Ω |
0.56215139146312 |
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 |
5520d1 22080c1 8280g1 13800d1 |
Quadratic twists by: -4 8 -3 5 |