Atkin-Lehner |
5- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44275r |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
17758083959433125 = 54 · 79 · 113 · 232 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 11- -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-98733,-10106781] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:-633:1] [-1686:9411:8] |
Generators of the group modulo torsion |
j |
170308017376460800/28412934335093 |
j-invariant |
L |
5.9273957440776 |
L(r)(E,1)/r! |
Ω |
0.27238314145508 |
Real period |
R |
1.208957947253 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44275f1 |
Quadratic twists by: 5 |