Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240bf |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
4742184960000 = 222 · 33 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42387,3357266] |
[a1,a2,a3,a4,a6] |
Generators |
[127:150:1] |
Generators of the group modulo torsion |
j |
76154932854603/42880000 |
j-invariant |
L |
6.7236219241191 |
L(r)(E,1)/r! |
Ω |
0.76202735896422 |
Real period |
R |
1.1029167530866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6030d1 48240ba1 |
Quadratic twists by: -4 -3 |