Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28090h |
Isogeny class |
Conductor |
28090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-329976359180213300 = -1 · 22 · 52 · 539 |
Discriminant |
Eigenvalues |
2- -1 5- 2 0 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37980,-27799823] |
[a1,a2,a3,a4,a6] |
Generators |
[954058:2499139:2744] |
Generators of the group modulo torsion |
j |
-273359449/14887700 |
j-invariant |
L |
8.2721398194351 |
L(r)(E,1)/r! |
Ω |
0.1337181323816 |
Real period |
R |
3.866407117019 |
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 |
530a1 |
Quadratic twists by: 53 |