Atkin-Lehner |
2+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25520g |
Isogeny class |
Conductor |
25520 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-797500000000 = -1 · 28 · 510 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,660,-42688] |
[a1,a2,a3,a4,a6] |
Generators |
[209:3030:1] |
Generators of the group modulo torsion |
j |
124010187824/3115234375 |
j-invariant |
L |
8.6481152300986 |
L(r)(E,1)/r! |
Ω |
0.43315982339858 |
Real period |
R |
3.9930366404924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12760d2 102080be2 127600j2 |
Quadratic twists by: -4 8 5 |