Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720x |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2587056537600 = 217 · 37 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3468,13808] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:180:1] [-34:304:1] |
Generators of the group modulo torsion |
j |
48275138/27075 |
j-invariant |
L |
8.8273983204094 |
L(r)(E,1)/r! |
Ω |
0.70086393151031 |
Real period |
R |
0.78718902517457 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720dv2 6840i2 18240s2 |
Quadratic twists by: -4 8 -3 |