Atkin-Lehner |
2- 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111202v |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
-97186544728 = -1 · 23 · 76 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ 2 13- -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13985,-642569] |
[a1,a2,a3,a4,a6] |
Generators |
[317:5028:1] |
Generators of the group modulo torsion |
j |
-137683852131853/44236024 |
j-invariant |
L |
11.090679339461 |
L(r)(E,1)/r! |
Ω |
0.21950550140192 |
Real period |
R |
4.2104788573617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111202n1 |
Quadratic twists by: 13 |