Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4230m |
Isogeny class |
Conductor |
4230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-6332197109760 = -1 · 218 · 37 · 5 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72189,7484485] |
[a1,a2,a3,a4,a6] |
j |
-57070627168555729/8686141440 |
j-invariant |
L |
1.4553823644578 |
L(r)(E,1)/r! |
Ω |
0.72769118222889 |
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 |
33840ci1 1410g1 21150by1 |
Quadratic twists by: -4 -3 5 |