Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984bf |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-2.7516926381532E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- -3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1808103,969235531] |
[a1,a2,a3,a4,a6] |
Generators |
[-1485:19481:1] [671:7623:1] |
Generators of the group modulo torsion |
j |
-31636584484096/1331669031 |
j-invariant |
L |
9.8519437508768 |
L(r)(E,1)/r! |
Ω |
0.2088962991754 |
Real period |
R |
0.16375655365338 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968bg1 20328z1 5544q1 |
Quadratic twists by: -4 -3 -11 |