Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7656h |
Isogeny class |
Conductor |
7656 |
Conductor |
∏ cp |
55 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-1425020702331561984 = -1 · 211 · 311 · 115 · 293 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 11- 3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1713904,-866109472] |
[a1,a2,a3,a4,a6] |
j |
-271865119154793108194/695810889810333 |
j-invariant |
L |
3.6280145503735 |
L(r)(E,1)/r! |
Ω |
0.065963900915881 |
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 |
15312a1 61248i1 22968h1 84216k1 |
Quadratic twists by: -4 8 -3 -11 |