Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275w |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
-24426727294921875 = -1 · 33 · 516 · 72 · 112 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11+ -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8925,7526531] |
[a1,a2,a3,a4,a6] |
j |
-3803369472/1181640625 |
j-invariant |
L |
2.4615178839118 |
L(r)(E,1)/r! |
Ω |
0.30768991720779 |
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 |
121275bj1 24255t1 121275e1 |
Quadratic twists by: -3 5 -7 |