Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530w |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-4.1888231541596E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4023966,-209384812] |
[a1,a2,a3,a4,a6] |
Generators |
[1627:102349:1] |
Generators of the group modulo torsion |
j |
9884598436907013225951/5745985122304000000 |
j-invariant |
L |
3.7464983997352 |
L(r)(E,1)/r! |
Ω |
0.082035898546796 |
Real period |
R |
3.8057509640104 |
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 |
2170i1 97650dz1 |
Quadratic twists by: -3 5 |