Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45288d |
Isogeny class |
Conductor |
45288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-25355483136 = -1 · 211 · 39 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 0 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,-7634] |
[a1,a2,a3,a4,a6] |
j |
207646/16983 |
j-invariant |
L |
1.1347923467424 |
L(r)(E,1)/r! |
Ω |
0.56739617337082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90576e1 15096i1 |
Quadratic twists by: -4 -3 |