Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720k |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-8323375010598144000 = -1 · 211 · 34 · 53 · 712 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-198280,142971472] |
[a1,a2,a3,a4,a6] |
Generators |
[-206:13230:1] |
Generators of the group modulo torsion |
j |
-420952100395130642/4064147954393625 |
j-invariant |
L |
4.8140526816322 |
L(r)(E,1)/r! |
Ω |
0.19866188060003 |
Real period |
R |
0.6731220161474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360n3 |
Quadratic twists by: -4 |