Atkin-Lehner |
2+ 7+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
13846b |
Isogeny class |
Conductor |
13846 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89280 |
Modular degree for the optimal curve |
Δ |
-1286305362944 = -1 · 210 · 74 · 233 · 43 |
Discriminant |
Eigenvalues |
2+ 3 2 7+ -3 -1 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26101,1630517] |
[a1,a2,a3,a4,a6] |
j |
-1966547820003866793/1286305362944 |
j-invariant |
L |
3.4050452745517 |
L(r)(E,1)/r! |
Ω |
0.85126131863793 |
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 |
110768t1 124614r1 96922i1 |
Quadratic twists by: -4 -3 -7 |