Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330u |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.7079007450999E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60627240,181821776800] |
[a1,a2,a3,a4,a6] |
Generators |
[262105:-31732109:125] |
Generators of the group modulo torsion |
j |
-98561081716303113792487/68303188804500000 |
j-invariant |
L |
4.0400350980669 |
L(r)(E,1)/r! |
Ω |
0.12212230980669 |
Real period |
R |
4.1352344878371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bz2 57330cr2 |
Quadratic twists by: -3 -7 |