Atkin-Lehner |
2+ 3+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194d |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5563842503912963424 = -1 · 25 · 39 · 72 · 118 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1667211,-835898203] |
[a1,a2,a3,a4,a6] |
j |
-26037798830062483491/282672484068128 |
j-invariant |
L |
2.3899754605348 |
L(r)(E,1)/r! |
Ω |
0.06638820723712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40194bg2 |
Quadratic twists by: -3 |