Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720bd |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1052698387415040000 = 223 · 39 · 54 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4695867,-3916402326] |
[a1,a2,a3,a4,a6] |
Generators |
[-120947202:-18953595:97336] |
Generators of the group modulo torsion |
j |
142042999823341947/13057280000 |
j-invariant |
L |
8.5060470959741 |
L(r)(E,1)/r! |
Ω |
0.10255881711416 |
Real period |
R |
10.367279156579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9090o2 72720ba2 |
Quadratic twists by: -4 -3 |