Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350l |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
244719216300000000 = 28 · 3 · 58 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 3 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1333075,-592497875] |
[a1,a2,a3,a4,a6] |
j |
822206905/768 |
j-invariant |
L |
0.8430657977217 |
L(r)(E,1)/r! |
Ω |
0.14051096628693 |
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 |
76050fn1 25350cq1 25350ce1 |
Quadratic twists by: -3 5 13 |