Atkin-Lehner |
2- 3- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44850cj |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-98535450000000 = -1 · 27 · 3 · 58 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 0 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9737,303017] |
[a1,a2,a3,a4,a6] |
Generators |
[52:949:1] |
Generators of the group modulo torsion |
j |
261358362095/252250752 |
j-invariant |
L |
10.059815594303 |
L(r)(E,1)/r! |
Ω |
0.39342895925221 |
Real period |
R |
0.30439983290374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44850b1 |
Quadratic twists by: 5 |