Atkin-Lehner |
2- 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
88572b |
Isogeny class |
Conductor |
88572 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-15187918420224 = -1 · 28 · 32 · 116 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3348,-173160] |
[a1,a2,a3,a4,a6] |
j |
9148592/33489 |
j-invariant |
L |
2.1356977672974 |
L(r)(E,1)/r! |
Ω |
0.35594961412511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
732a2 |
Quadratic twists by: -11 |