Atkin-Lehner |
2+ 3+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562c |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
487836876137472 = 210 · 33 · 177 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-115750,15072148] |
[a1,a2,a3,a4,a6] |
j |
7105572015625/20210688 |
j-invariant |
L |
1.0521267187535 |
L(r)(E,1)/r! |
Ω |
0.52606335802108 |
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 |
4386g1 |
Quadratic twists by: 17 |