Atkin-Lehner |
2- 3+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906t |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
120704 |
Modular degree for the optimal curve |
Δ |
-7999938625536 = -1 · 223 · 33 · 11 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 11+ 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8804,348039] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:669:1] [-63:837:1] |
Generators of the group modulo torsion |
j |
-2794819743859779/296294023168 |
j-invariant |
L |
11.270641958916 |
L(r)(E,1)/r! |
Ω |
0.71940127876065 |
Real period |
R |
0.17029018634127 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48906e1 |
Quadratic twists by: -3 |