Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275dt |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-7004947932675 = -1 · 39 · 52 · 76 · 112 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- -1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10290,421461] |
[a1,a2,a3,a4,a6] |
j |
-56197120/3267 |
j-invariant |
L |
2.9457456864974 |
L(r)(E,1)/r! |
Ω |
0.73643661526203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425ca1 121275gi1 2475i1 |
Quadratic twists by: -3 5 -7 |