Atkin-Lehner |
2- 3- 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
28290w |
Isogeny class |
Conductor |
28290 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-70725000 = -1 · 23 · 3 · 55 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 0 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,69,345] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] |
Generators of the group modulo torsion |
j |
36297569231/70725000 |
j-invariant |
L |
7.7329008145124 |
L(r)(E,1)/r! |
Ω |
1.343280994723 |
Real period |
R |
1.9189087130418 |
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 |
84870k1 |
Quadratic twists by: -3 |