Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dh |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.8512055005851E+24 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20065270,-55578132228] |
[a1,a2,a3,a4,a6] |
Generators |
[702228594:-66700319215:97336] |
Generators of the group modulo torsion |
j |
666688497209279/1381398046875 |
j-invariant |
L |
4.1912824963007 |
L(r)(E,1)/r! |
Ω |
0.043426238188089 |
Real period |
R |
12.064372410253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40425w5 24255bm5 17325y6 |
Quadratic twists by: -3 5 -7 |