Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27040r |
Isogeny class |
Conductor |
27040 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-432640 = -1 · 29 · 5 · 132 |
Discriminant |
Eigenvalues |
2- 0 5- 1 -5 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13,26] |
[a1,a2,a3,a4,a6] |
Generators |
[10:34:1] |
Generators of the group modulo torsion |
j |
2808/5 |
j-invariant |
L |
5.1684164424178 |
L(r)(E,1)/r! |
Ω |
2.0436820570825 |
Real period |
R |
2.5289728529476 |
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 |
27040h1 54080b1 27040a1 |
Quadratic twists by: -4 8 13 |