Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680cp |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
-2.1373784182657E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177957,220548042] |
[a1,a2,a3,a4,a6] |
Generators |
[1221:47520:1] |
Generators of the group modulo torsion |
j |
729/25 |
j-invariant |
L |
4.687596155759 |
L(r)(E,1)/r! |
Ω |
0.16241364690113 |
Real period |
R |
3.6077604361469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998274534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7605c1 121680dc1 121680db1 |
Quadratic twists by: -4 -3 13 |