Atkin-Lehner |
2+ 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26862d |
Isogeny class |
Conductor |
26862 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-4579266460992696 = -1 · 23 · 38 · 119 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11+ -6 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-63528,-6975410] |
[a1,a2,a3,a4,a6] |
j |
-12024728171/1942056 |
j-invariant |
L |
2.3845959306391 |
L(r)(E,1)/r! |
Ω |
0.14903724566493 |
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 |
80586x1 26862r1 |
Quadratic twists by: -3 -11 |