Atkin-Lehner |
2- 3+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360q |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-143433342000 = -1 · 24 · 34 · 53 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,785,-16400] |
[a1,a2,a3,a4,a6] |
Generators |
[25:135:1] |
Generators of the group modulo torsion |
j |
3339330013184/8964583875 |
j-invariant |
L |
4.209202260122 |
L(r)(E,1)/r! |
Ω |
0.53129810347767 |
Real period |
R |
1.3204144818661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96720v1 |
Quadratic twists by: -4 |