Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ep |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
451444718935546875 = 36 · 510 · 78 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-606605,179102522] |
[a1,a2,a3,a4,a6] |
j |
18420660721/336875 |
j-invariant |
L |
2.3758158644184 |
L(r)(E,1)/r! |
Ω |
0.29697694022134 |
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 |
13475d2 24255bt2 17325t2 |
Quadratic twists by: -3 5 -7 |