Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
27552bc |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
47444544 = 26 · 32 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-574,5096] |
[a1,a2,a3,a4,a6] |
Generators |
[22:60:1] |
Generators of the group modulo torsion |
j |
327367684288/741321 |
j-invariant |
L |
5.0780602684378 |
L(r)(E,1)/r! |
Ω |
2.0174988723358 |
Real period |
R |
2.5170077357013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27552q1 55104ck2 82656u1 |
Quadratic twists by: -4 8 -3 |