Atkin-Lehner |
3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6045f |
Isogeny class |
Conductor |
6045 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
15600 |
Modular degree for the optimal curve |
Δ |
-10838181904875 = -1 · 35 · 53 · 135 · 312 |
Discriminant |
Eigenvalues |
0 3- 5+ -5 1 13- 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3621,-180439] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1813:1] |
Generators of the group modulo torsion |
j |
-5252054436020224/10838181904875 |
j-invariant |
L |
3.0993341848113 |
L(r)(E,1)/r! |
Ω |
0.28879617978149 |
Real period |
R |
0.21463817057111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96720bx1 18135o1 30225b1 78585t1 |
Quadratic twists by: -4 -3 5 13 |