Atkin-Lehner |
2+ 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410h |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1835008 |
Modular degree for the optimal curve |
Δ |
5236144093440 = 28 · 310 · 5 · 13 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5260770,-4643004524] |
[a1,a2,a3,a4,a6] |
j |
22087378576877173017121/7182639360 |
j-invariant |
L |
0.79749360204087 |
L(r)(E,1)/r! |
Ω |
0.099686700598803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28470p1 |
Quadratic twists by: -3 |