Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2760c |
Isogeny class |
Conductor |
2760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-6624000 = -1 · 28 · 32 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 0 -4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,117] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-30:1] |
Generators of the group modulo torsion |
j |
1362944/25875 |
j-invariant |
L |
3.0385165280321 |
L(r)(E,1)/r! |
Ω |
1.770307581124 |
Real period |
R |
0.071515739233454 |
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 |
5520i1 22080be1 8280s1 13800t1 |
Quadratic twists by: -4 8 -3 5 |