Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478bu |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-179342304768 = -1 · 29 · 36 · 113 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4685,-123915] |
[a1,a2,a3,a4,a6] |
j |
-43204686625/681472 |
j-invariant |
L |
5.1887762030555 |
L(r)(E,1)/r! |
Ω |
0.2882653452469 |
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 |
7942j1 71478h1 |
Quadratic twists by: -3 -19 |