Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13818l |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9936 |
Modular degree for the optimal curve |
Δ |
24374952 = 23 · 33 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 4 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,-2059] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:6:1] |
Generators of the group modulo torsion |
j |
1182740881/10152 |
j-invariant |
L |
4.8840167574012 |
L(r)(E,1)/r! |
Ω |
1.1525539762335 |
Real period |
R |
1.412520037561 |
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 |
110544dd1 41454e1 13818bf1 |
Quadratic twists by: -4 -3 -7 |