Atkin-Lehner |
2- 3- 5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28290y |
Isogeny class |
Conductor |
28290 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9120 |
Modular degree for the optimal curve |
Δ |
-14965410 = -1 · 2 · 3 · 5 · 233 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 -6 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,40,162] |
[a1,a2,a3,a4,a6] |
Generators |
[126:489:8] |
Generators of the group modulo torsion |
j |
7066834559/14965410 |
j-invariant |
L |
10.675806667164 |
L(r)(E,1)/r! |
Ω |
1.5357482103135 |
Real period |
R |
2.3171781666355 |
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 |
84870b1 |
Quadratic twists by: -3 |