Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27900t |
Isogeny class |
Conductor |
27900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
21892781250000 = 24 · 36 · 59 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12000,453125] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:682:1] |
Generators of the group modulo torsion |
j |
8388608/961 |
j-invariant |
L |
3.9370583062725 |
L(r)(E,1)/r! |
Ω |
0.65695395198088 |
Real period |
R |
2.9964492141354 |
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 |
111600gd1 3100f1 27900r1 |
Quadratic twists by: -4 -3 5 |