Atkin-Lehner |
5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112385d |
Isogeny class |
Conductor |
112385 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
973440 |
Modular degree for the optimal curve |
Δ |
67807616183125 = 54 · 7 · 138 · 19 |
Discriminant |
Eigenvalues |
-2 1 5+ 7+ 3 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-224826,-41104670] |
[a1,a2,a3,a4,a6] |
Generators |
[-17564:2693:64] |
Generators of the group modulo torsion |
j |
1540701220864/83125 |
j-invariant |
L |
2.2261398096533 |
L(r)(E,1)/r! |
Ω |
0.21924977996501 |
Real period |
R |
5.0767207468346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112385m1 |
Quadratic twists by: 13 |