Atkin-Lehner |
3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57477a |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-1.9669455044611E+20 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -3 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,741835,628664646] |
[a1,a2,a3,a4,a6] |
j |
383757181824152375/1671876092836413 |
j-invariant |
L |
1.0235670728484 |
L(r)(E,1)/r! |
Ω |
0.12794588437514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1173d1 |
Quadratic twists by: -7 |