Atkin-Lehner |
2+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050t |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-12112100000000000 = -1 · 211 · 511 · 7 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 11- 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-493192,-133294784] |
[a1,a2,a3,a4,a6] |
Generators |
[1739:64443:1] |
Generators of the group modulo torsion |
j |
-849087117004123089/775174400000 |
j-invariant |
L |
2.6489107061219 |
L(r)(E,1)/r! |
Ω |
0.090072400311491 |
Real period |
R |
2.4507236187528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10010r1 |
Quadratic twists by: 5 |