Atkin-Lehner |
11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
112211b |
Isogeny class |
Conductor |
112211 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25704000 |
Modular degree for the optimal curve |
Δ |
-2.1101813791071E+23 |
Discriminant |
Eigenvalues |
0 3 -3 0 11+ 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-88789504,322783257865] |
[a1,a2,a3,a4,a6] |
Generators |
[1248761546632636154021725291059:10204343988622506730859402256470:240792911762052861906358383] |
Generators of the group modulo torsion |
j |
-72925658468057088/198788631371 |
j-invariant |
L |
8.7932872886232 |
L(r)(E,1)/r! |
Ω |
0.10029238317069 |
Real period |
R |
43.83826074637 |
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 |
1111b1 |
Quadratic twists by: 101 |