Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bp |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3833856 |
Modular degree for the optimal curve |
Δ |
-4.3415499121022E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342732,-1005461444] |
[a1,a2,a3,a4,a6] |
Generators |
[1598707:23651685:1331] |
Generators of the group modulo torsion |
j |
-173056/16875 |
j-invariant |
L |
5.9565770813806 |
L(r)(E,1)/r! |
Ω |
0.074073667180943 |
Real period |
R |
10.051778984774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60840bv1 40560s1 121680s1 |
Quadratic twists by: -4 -3 13 |