Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600bf |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
8 |
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 |
[909958:-8196875:2744] |
Generators of the group modulo torsion |
j |
3625294417928/2193075 |
j-invariant |
L |
5.4222398384966 |
L(r)(E,1)/r! |
Ω |
0.30016233434983 |
Real period |
R |
9.0321789544727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600p2 91200cv2 9120k2 |
Quadratic twists by: -4 8 5 |