Atkin-Lehner |
2+ 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111202i |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-6504530579456 = -1 · 212 · 7 · 136 · 47 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 5 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4053,-70403] |
[a1,a2,a3,a4,a6] |
Generators |
[57:563:1] [486:10573:1] |
Generators of the group modulo torsion |
j |
1524845951/1347584 |
j-invariant |
L |
8.2542709489807 |
L(r)(E,1)/r! |
Ω |
0.41306280864666 |
Real period |
R |
2.4978861502834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
658d1 |
Quadratic twists by: 13 |