Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275dr |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7803544427314453125 = 36 · 510 · 77 · 113 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19661250,-33555314844] |
[a1,a2,a3,a4,a6] |
j |
1003555225600/9317 |
j-invariant |
L |
0.86035661898305 |
L(r)(E,1)/r! |
Ω |
0.071696344811219 |
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 |
13475b2 121275gh2 17325l2 |
Quadratic twists by: -3 5 -7 |