Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13818q |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
19152 |
Modular degree for the optimal curve |
Δ |
3622305792 = 219 · 3 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 6 -5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-400,881] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:69:1] |
Generators of the group modulo torsion |
j |
144469264849/73924608 |
j-invariant |
L |
4.6035173029451 |
L(r)(E,1)/r! |
Ω |
1.2376108003656 |
Real period |
R |
0.19577268095426 |
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 |
110544ei1 41454bg1 13818y1 |
Quadratic twists by: -4 -3 -7 |