Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38808bj |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-15975002736 = -1 · 24 · 37 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- -5 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399,6811] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:77:1] [23:-99:1] |
Generators of the group modulo torsion |
j |
-1755904/3993 |
j-invariant |
L |
7.6075540132038 |
L(r)(E,1)/r! |
Ω |
1.0994504084425 |
Real period |
R |
0.14415448608814 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616bx1 12936y1 38808bi1 |
Quadratic twists by: -4 -3 -7 |