Atkin-Lehner |
2+ 3+ 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360d |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-3.1855159118383E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -5 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2380040,-2319533108] |
[a1,a2,a3,a4,a6] |
Generators |
[1149:43940:1] |
Generators of the group modulo torsion |
j |
728025088041060610318/1555427691327290625 |
j-invariant |
L |
4.905947523399 |
L(r)(E,1)/r! |
Ω |
0.073702822646617 |
Real period |
R |
1.6640975702205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96720y1 |
Quadratic twists by: -4 |