Atkin-Lehner |
2+ 3- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
40626h |
Isogeny class |
Conductor |
40626 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-116833574586184704 = -1 · 210 · 36 · 376 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 3 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-338645358,2398728707028] |
[a1,a2,a3,a4,a6] |
j |
-5891577095829807995767096033/160265534411776 |
j-invariant |
L |
4.198968965472 |
L(r)(E,1)/r! |
Ω |
0.17495704023023 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4514d2 |
Quadratic twists by: -3 |