Atkin-Lehner |
2+ 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286q |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1302141258 = -1 · 2 · 36 · 114 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11- -4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,239,-970] |
[a1,a2,a3,a4,a6] |
Generators |
[4:5:1] [110:505:8] |
Generators of the group modulo torsion |
j |
103742375/88938 |
j-invariant |
L |
7.9330201535593 |
L(r)(E,1)/r! |
Ω |
0.84232348928777 |
Real period |
R |
4.7090104066 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44286bf1 |
Quadratic twists by: -11 |