Atkin-Lehner |
2+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
28910a |
Isogeny class |
Conductor |
28910 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1894350503326400 = -1 · 26 · 52 · 78 · 593 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 6 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10169,2130076] |
[a1,a2,a3,a4,a6] |
j |
-20170317769/328606400 |
j-invariant |
L |
1.5813604576302 |
L(r)(E,1)/r! |
Ω |
0.39534011440776 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28910n1 |
Quadratic twists by: -7 |