Atkin-Lehner |
2- 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
27740a |
Isogeny class |
Conductor |
27740 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
2108240 = 24 · 5 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128,553] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:19:1] [3:14:1] |
Generators of the group modulo torsion |
j |
14495514624/131765 |
j-invariant |
L |
7.423174047552 |
L(r)(E,1)/r! |
Ω |
2.6222289093455 |
Real period |
R |
1.8872428264105 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110960l1 |
Quadratic twists by: -4 |