Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728dc |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
137429091072 = 28 · 33 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 4 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132447,-18552870] |
[a1,a2,a3,a4,a6] |
j |
315978926832/169 |
j-invariant |
L |
2.0020688300942 |
L(r)(E,1)/r! |
Ω |
0.25025861526058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22932f2 91728db2 1872l2 |
Quadratic twists by: -4 -3 -7 |