Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
2190m |
Isogeny class |
Conductor |
2190 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
1051200 = 26 · 32 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30,27] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:11:1] |
Generators of the group modulo torsion |
j |
2992209121/1051200 |
j-invariant |
L |
3.7277635103485 |
L(r)(E,1)/r! |
Ω |
2.5383477822228 |
Real period |
R |
0.24476311825456 |
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 |
17520x1 70080u1 6570f1 10950o1 |
Quadratic twists by: -4 8 -3 5 |