Atkin-Lehner |
2+ 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048i |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1678989312 = 211 · 32 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11+ 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-560,4896] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-36:1] [-11:98:1] |
Generators of the group modulo torsion |
j |
9500208482/819819 |
j-invariant |
L |
6.5541161016478 |
L(r)(E,1)/r! |
Ω |
1.4587869411125 |
Real period |
R |
0.56160669499898 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024ba2 |
Quadratic twists by: -4 |