Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42108f |
Isogeny class |
Conductor |
42108 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
120120 |
Modular degree for the optimal curve |
Δ |
-1797723412848 = -1 · 24 · 37 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 3 11- 3 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6090,-196011] |
[a1,a2,a3,a4,a6] |
Generators |
[93:225:1] |
Generators of the group modulo torsion |
j |
-881395456/63423 |
j-invariant |
L |
6.3385062648371 |
L(r)(E,1)/r! |
Ω |
0.26910033845739 |
Real period |
R |
3.3649191976739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126324m1 348d1 |
Quadratic twists by: -3 -11 |