Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11160g |
Isogeny class |
Conductor |
11160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12544 |
Modular degree for the optimal curve |
Δ |
-506101893120 = -1 · 211 · 313 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 -6 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2307,54686] |
[a1,a2,a3,a4,a6] |
Generators |
[70:486:1] |
Generators of the group modulo torsion |
j |
-909513218/338985 |
j-invariant |
L |
4.7982662627166 |
L(r)(E,1)/r! |
Ω |
0.87431222530726 |
Real period |
R |
1.3720116578006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22320q1 89280bd1 3720f1 55800bq1 |
Quadratic twists by: -4 8 -3 5 |