Atkin-Lehner |
2+ 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6678c |
Isogeny class |
Conductor |
6678 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-3528792970665984 = -1 · 213 · 310 · 72 · 533 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 1 0 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,24390,2447284] |
[a1,a2,a3,a4,a6] |
j |
2201007734483039/4840593924096 |
j-invariant |
L |
1.2345931260312 |
L(r)(E,1)/r! |
Ω |
0.30864828150779 |
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 |
53424bk1 2226h1 46746j1 |
Quadratic twists by: -4 -3 -7 |