Atkin-Lehner |
2- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36518d |
Isogeny class |
Conductor |
36518 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-539602238048 = -1 · 25 · 19 · 316 |
Discriminant |
Eigenvalues |
2- 1 -4 3 -2 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20,-35344] |
[a1,a2,a3,a4,a6] |
Generators |
[452:9384:1] |
Generators of the group modulo torsion |
j |
-1/608 |
j-invariant |
L |
8.009126970706 |
L(r)(E,1)/r! |
Ω |
0.42314334225525 |
Real period |
R |
1.892769227567 |
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 |
38b1 |
Quadratic twists by: -31 |