Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275gm |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.9261036651816E+23 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18637992,7100103541] |
[a1,a2,a3,a4,a6] |
Generators |
[4748:157709:1] |
Generators of the group modulo torsion |
j |
4274401176989/2343775203 |
j-invariant |
L |
6.6852597799384 |
L(r)(E,1)/r! |
Ω |
0.082570440142392 |
Real period |
R |
1.6867567268894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40425bi2 121275go2 17325bo2 |
Quadratic twists by: -3 5 -7 |