Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dt |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6709248 |
Modular degree for the optimal curve |
Δ |
-1.0227848972575E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 1 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3249363,5362670482] |
[a1,a2,a3,a4,a6] |
Generators |
[19097:2628288:1] |
Generators of the group modulo torsion |
j |
-1557701041/4199040 |
j-invariant |
L |
7.586110723365 |
L(r)(E,1)/r! |
Ω |
0.11352428471522 |
Real period |
R |
2.7843200927594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210k1 40560cv1 121680fe1 |
Quadratic twists by: -4 -3 13 |