Atkin-Lehner |
2+ 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44770i |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14203333711507600 = 24 · 52 · 1110 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66754,-3328572] |
[a1,a2,a3,a4,a6] |
j |
18569625442641/8017411600 |
j-invariant |
L |
2.4711122708092 |
L(r)(E,1)/r! |
Ω |
0.30888903389478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4070f2 |
Quadratic twists by: -11 |