Atkin-Lehner |
13- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
107939g |
Isogeny class |
Conductor |
107939 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
44640 |
Modular degree for the optimal curve |
Δ |
-3082845779 = -1 · 135 · 192 · 23 |
Discriminant |
Eigenvalues |
-1 -1 -1 -3 3 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-986,11802] |
[a1,a2,a3,a4,a6] |
Generators |
[28:70:1] |
Generators of the group modulo torsion |
j |
-293680278649/8539739 |
j-invariant |
L |
1.4072693782081 |
L(r)(E,1)/r! |
Ω |
1.4168253976795 |
Real period |
R |
0.19865106610508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107939a1 |
Quadratic twists by: -19 |