Atkin-Lehner |
2+ 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048j |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
747989738496 = 210 · 36 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2912,44880] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:270:1] |
Generators of the group modulo torsion |
j |
2667761486212/730458729 |
j-invariant |
L |
6.0339410428742 |
L(r)(E,1)/r! |
Ω |
0.83923255155257 |
Real period |
R |
1.7974579965069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024m2 |
Quadratic twists by: -4 |