Atkin-Lehner |
3- 5- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122265u |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
62361600 |
Modular degree for the optimal curve |
Δ |
1.1672429349361E+25 |
Discriminant |
Eigenvalues |
-2 3- 5- 5 11+ 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-179140017,-908105612720] |
[a1,a2,a3,a4,a6] |
j |
872115523825554001826689024/16011562893499263358125 |
j-invariant |
L |
2.3135214589289 |
L(r)(E,1)/r! |
Ω |
0.041312879416845 |
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 |
40755d1 |
Quadratic twists by: -3 |