Atkin-Lehner |
2+ 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44770i |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1004357636934602500 = -1 · 22 · 54 · 118 · 374 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,226066,-24821560] |
[a1,a2,a3,a4,a6] |
j |
721227487993839/566933702500 |
j-invariant |
L |
2.4711122708092 |
L(r)(E,1)/r! |
Ω |
0.15444451694739 |
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 |
4070f4 |
Quadratic twists by: -11 |