Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800o |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-19607184000000 = -1 · 210 · 36 · 56 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1725,-211250] |
[a1,a2,a3,a4,a6] |
Generators |
[95:-900:1] [150:1850:1] |
Generators of the group modulo torsion |
j |
48668/1681 |
j-invariant |
L |
10.848941755962 |
L(r)(E,1)/r! |
Ω |
0.32992590860752 |
Real period |
R |
4.110370492643 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999743 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8200k2 2952f2 |
Quadratic twists by: -3 5 |