Atkin-Lehner |
2- 3- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184ck |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-1.4068948690747E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-786192,-630866412] |
[a1,a2,a3,a4,a6] |
Generators |
[156255:2309076:125] |
Generators of the group modulo torsion |
j |
-13120493711215846033/34348019264520192 |
j-invariant |
L |
9.3879555738685 |
L(r)(E,1)/r! |
Ω |
0.074529350158212 |
Real period |
R |
6.2981600952082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398bb1 |
Quadratic twists by: -4 |