Atkin-Lehner |
2- 3- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184cn |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-7971635933184 = -1 · 212 · 3 · 75 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- -3 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38024,2844468] |
[a1,a2,a3,a4,a6] |
Generators |
[126:264:1] |
Generators of the group modulo torsion |
j |
-1484391946907017/1946200179 |
j-invariant |
L |
10.675146912078 |
L(r)(E,1)/r! |
Ω |
0.73700216977969 |
Real period |
R |
1.2070460702185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6699e1 |
Quadratic twists by: -4 |