Atkin-Lehner |
2- 3+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19314j |
Isogeny class |
Conductor |
19314 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
-1.6823478614901E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2969179,-128587075] |
[a1,a2,a3,a4,a6] |
Generators |
[243:24520:1] |
Generators of the group modulo torsion |
j |
107218376267674543632909/62309180055188986144 |
j-invariant |
L |
6.0163530385419 |
L(r)(E,1)/r! |
Ω |
0.088540231683133 |
Real period |
R |
0.970721432695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19314e1 |
Quadratic twists by: -3 |