Atkin-Lehner |
2+ 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450y |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-152664166230468750 = -1 · 2 · 35 · 510 · 114 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-414701,-104529202] |
[a1,a2,a3,a4,a6] |
j |
-807657836326225/15632810622 |
j-invariant |
L |
0.93958833567984 |
L(r)(E,1)/r! |
Ω |
0.093958833567985 |
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 |
64350eo1 21450ca1 |
Quadratic twists by: -3 5 |