Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600p |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
17544600000000 = 29 · 35 · 58 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64008,6208488] |
[a1,a2,a3,a4,a6] |
Generators |
[162:342:1] [-237:2850:1] |
Generators of the group modulo torsion |
j |
3625294417928/2193075 |
j-invariant |
L |
10.178167990861 |
L(r)(E,1)/r! |
Ω |
0.68398931225665 |
Real period |
R |
0.74402975371643 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600bf2 91200bh2 9120o2 |
Quadratic twists by: -4 8 5 |