Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
48800l |
Isogeny class |
Conductor |
48800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-2440000000 = -1 · 29 · 57 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -2 -7 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,325,750] |
[a1,a2,a3,a4,a6] |
Generators |
[5:50:1] |
Generators of the group modulo torsion |
j |
474552/305 |
j-invariant |
L |
2.8064617208373 |
L(r)(E,1)/r! |
Ω |
0.9038881436698 |
Real period |
R |
0.77621930891215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48800f1 97600e1 9760e1 |
Quadratic twists by: -4 8 5 |