Atkin-Lehner |
2+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
28480v |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-72188825600000 = -1 · 215 · 55 · 893 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 -5 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10335,-63263] |
[a1,a2,a3,a4,a6] |
Generators |
[24:445:1] |
Generators of the group modulo torsion |
j |
3725316686008/2203028125 |
j-invariant |
L |
4.742366204802 |
L(r)(E,1)/r! |
Ω |
0.36010206435057 |
Real period |
R |
0.43898352479175 |
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 |
28480u1 14240e1 |
Quadratic twists by: -4 8 |