Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478bz |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-157695064450902 = -1 · 2 · 36 · 112 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11+ 7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18479,-1135475] |
[a1,a2,a3,a4,a6] |
j |
-20346417/4598 |
j-invariant |
L |
6.4738185773405 |
L(r)(E,1)/r! |
Ω |
0.2023068309973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942k1 3762e1 |
Quadratic twists by: -3 -19 |