Atkin-Lehner |
2- 5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650q |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
257210000000000 = 210 · 510 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113380,-14645753] |
[a1,a2,a3,a4,a6] |
j |
10315955333453769/16461440000 |
j-invariant |
L |
5.2040008408789 |
L(r)(E,1)/r! |
Ω |
0.26020004284452 |
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 |
15130c1 |
Quadratic twists by: 5 |