Atkin-Lehner |
3- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
57285b |
Isogeny class |
Conductor |
57285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-7141090815 = -1 · 310 · 5 · 192 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 2 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,-5369] |
[a1,a2,a3,a4,a6] |
Generators |
[4350:52393:27] |
Generators of the group modulo torsion |
j |
-13841287201/9795735 |
j-invariant |
L |
5.9146973870116 |
L(r)(E,1)/r! |
Ω |
0.50255128054366 |
Real period |
R |
5.8846704962719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19095e1 |
Quadratic twists by: -3 |