Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600n |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-1315468821420000000 = -1 · 28 · 311 · 57 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 5 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,242967,-30253437] |
[a1,a2,a3,a4,a6] |
j |
396555344454656/328867205355 |
j-invariant |
L |
3.3034009508905 |
L(r)(E,1)/r! |
Ω |
0.15015458867684 |
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 |
7800k1 62400et1 46800r1 3120b1 |
Quadratic twists by: -4 8 -3 5 |