Atkin-Lehner |
2+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57152a |
Isogeny class |
Conductor |
57152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1408313065472 = -1 · 225 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ -3 0 1 0 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2420,-34064] |
[a1,a2,a3,a4,a6] |
Generators |
[30:256:1] |
Generators of the group modulo torsion |
j |
5979018375/5372288 |
j-invariant |
L |
3.3909244234413 |
L(r)(E,1)/r! |
Ω |
0.46852424031805 |
Real period |
R |
0.90468222652899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57152t1 1786c1 |
Quadratic twists by: -4 8 |