Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056cc |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-1327353495552 = -1 · 216 · 310 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,55370] |
[a1,a2,a3,a4,a6] |
j |
4913/1296 |
j-invariant |
L |
2.6564138164988 |
L(r)(E,1)/r! |
Ω |
0.66410345412471 |
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 |
882k1 28224gq1 2352q1 7056cd1 |
Quadratic twists by: -4 8 -3 -7 |