Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
72504bd |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
317132496 = 24 · 39 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 2 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-246,1213] |
[a1,a2,a3,a4,a6] |
Generators |
[2:27:1] |
Generators of the group modulo torsion |
j |
141150208/27189 |
j-invariant |
L |
8.1913820202895 |
L(r)(E,1)/r! |
Ω |
1.6312077532332 |
Real period |
R |
1.2554167309134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168i1 |
Quadratic twists by: -3 |