Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280ce |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1873619804160000 = 216 · 33 · 54 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-482240,-129041100] |
[a1,a2,a3,a4,a6] |
Generators |
[820:5250:1] |
Generators of the group modulo torsion |
j |
3027989442753063361/457426710000 |
j-invariant |
L |
8.8541099242416 |
L(r)(E,1)/r! |
Ω |
0.18117055250824 |
Real period |
R |
4.0726403020754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410r3 |
Quadratic twists by: -4 |