Atkin-Lehner |
2+ 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410j |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
449683650 = 2 · 36 · 52 · 132 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7020,228150] |
[a1,a2,a3,a4,a6] |
j |
52485860157121/616850 |
j-invariant |
L |
3.0314048910793 |
L(r)(E,1)/r! |
Ω |
1.5157024966357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490l2 |
Quadratic twists by: -3 |