Atkin-Lehner |
2- 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98384k |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-742969239723568 = -1 · 24 · 112 · 136 · 433 |
Discriminant |
Eigenvalues |
2- 2 0 -2 11+ 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18447,-894916] |
[a1,a2,a3,a4,a6] |
Generators |
[216104680:1128996726:4657463] |
Generators of the group modulo torsion |
j |
43386781005824000/46435577482723 |
j-invariant |
L |
8.7719281528136 |
L(r)(E,1)/r! |
Ω |
0.27392797572376 |
Real period |
R |
10.674251262609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24596h3 |
Quadratic twists by: -4 |