Atkin-Lehner |
2- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65450s |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
317520 |
Modular degree for the optimal curve |
Δ |
-1448183515625000 = -1 · 23 · 510 · 73 · 11 · 173 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17513,-2043969] |
[a1,a2,a3,a4,a6] |
j |
-60828465625/148293992 |
j-invariant |
L |
0.5804334752427 |
L(r)(E,1)/r! |
Ω |
0.1934778242509 |
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 |
65450q1 |
Quadratic twists by: 5 |