Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2604c |
Isogeny class |
Conductor |
2604 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
127619988048 = 24 · 37 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22713,-1325016] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:9:1] |
Generators of the group modulo torsion |
j |
80992788772864000/7976249253 |
j-invariant |
L |
3.6154623457095 |
L(r)(E,1)/r! |
Ω |
0.38889459069267 |
Real period |
R |
0.88540636833526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10416be1 41664c1 7812f1 65100j1 |
Quadratic twists by: -4 8 -3 5 |