Atkin-Lehner |
3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47961b |
Isogeny class |
Conductor |
47961 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
2552340537 = 38 · 733 |
Discriminant |
Eigenvalues |
1 3- 0 2 -6 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-342,-81] |
[a1,a2,a3,a4,a6] |
j |
15625/9 |
j-invariant |
L |
2.4173448699473 |
L(r)(E,1)/r! |
Ω |
1.2086724348579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15987f1 47961c1 |
Quadratic twists by: -3 73 |