Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680de |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
8328387600 = 24 · 36 · 52 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-770133,-260133757] |
[a1,a2,a3,a4,a6] |
Generators |
[-43160084:14425:85184] |
Generators of the group modulo torsion |
j |
151635187115776/25 |
j-invariant |
L |
7.8498115596484 |
L(r)(E,1)/r! |
Ω |
0.16116032012281 |
Real period |
R |
8.1180151319504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30420h2 13520y2 121680eu2 |
Quadratic twists by: -4 -3 13 |