Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ec |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-73705260234375 = -1 · 36 · 57 · 76 · 11 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8958,250991] |
[a1,a2,a3,a4,a6] |
j |
59319/55 |
j-invariant |
L |
3.2124117793758 |
L(r)(E,1)/r! |
Ω |
0.4015515950737 |
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 |
13475e1 24255bv1 2475j1 |
Quadratic twists by: -3 5 -7 |