Atkin-Lehner |
2- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
9460g |
Isogeny class |
Conductor |
9460 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-31306918021280000 = -1 · 28 · 54 · 113 · 435 |
Discriminant |
Eigenvalues |
2- -3 5- 0 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-306487,-65860466] |
[a1,a2,a3,a4,a6] |
Generators |
[663:4730:1] |
Generators of the group modulo torsion |
j |
-12437122766101906896/122292648520625 |
j-invariant |
L |
2.7742510409765 |
L(r)(E,1)/r! |
Ω |
0.10139391744819 |
Real period |
R |
0.15200621665573 |
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 |
37840v1 85140h1 47300l1 104060r1 |
Quadratic twists by: -4 -3 5 -11 |