Atkin-Lehner |
5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44965g |
Isogeny class |
Conductor |
44965 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
6849216 |
Modular degree for the optimal curve |
Δ |
-4.3208315555506E+23 |
Discriminant |
Eigenvalues |
-1 1 5- 4 5 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2670910,31581383567] |
[a1,a2,a3,a4,a6] |
Generators |
[16222:1695269:8] |
Generators of the group modulo torsion |
j |
1169905924153/239892578125 |
j-invariant |
L |
6.1493155518463 |
L(r)(E,1)/r! |
Ω |
0.072756592897469 |
Real period |
R |
3.8417733999784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44965c1 |
Quadratic twists by: -23 |