Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720cg |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73600 |
Modular degree for the optimal curve |
Δ |
-54566400000 = -1 · 212 · 3 · 55 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2661,53139] |
[a1,a2,a3,a4,a6] |
j |
-508934139904/13321875 |
j-invariant |
L |
2.2329119259562 |
L(r)(E,1)/r! |
Ω |
1.116455962746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3045a1 |
Quadratic twists by: -4 |