Atkin-Lehner |
2+ 7+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13846a |
Isogeny class |
Conductor |
13846 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3680 |
Modular degree for the optimal curve |
Δ |
-75986848 = -1 · 25 · 74 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -2 2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-218,1364] |
[a1,a2,a3,a4,a6] |
Generators |
[13:18:1] |
Generators of the group modulo torsion |
j |
-1148717693817/75986848 |
j-invariant |
L |
2.3118211710801 |
L(r)(E,1)/r! |
Ω |
1.9046781538605 |
Real period |
R |
0.60687974143936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110768u1 124614p1 96922d1 |
Quadratic twists by: -4 -3 -7 |