Atkin-Lehner |
2- 3- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184cm |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
63700992 |
Modular degree for the optimal curve |
Δ |
-3.9801766523503E+27 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,196449248,-2844261698572] |
[a1,a2,a3,a4,a6] |
Generators |
[53945407519964845:-56706824620077700068:48827236375] |
Generators of the group modulo torsion |
j |
204698600764777774337181407/971722815515219489390592 |
j-invariant |
L |
10.886468416101 |
L(r)(E,1)/r! |
Ω |
0.022181545383676 |
Real period |
R |
20.449560300569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398bc1 |
Quadratic twists by: -4 |