Atkin-Lehner |
3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575x |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-33867444770859375 = -1 · 39 · 57 · 132 · 194 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,79870,1686872] |
[a1,a2,a3,a4,a6] |
j |
4946890630319/2973273615 |
j-invariant |
L |
1.8050943297234 |
L(r)(E,1)/r! |
Ω |
0.22563679079948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18525o1 11115d1 |
Quadratic twists by: -3 5 |