Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840z |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
94854071816524800 = 210 · 310 · 52 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-854194107,9609105685894] |
[a1,a2,a3,a4,a6] |
Generators |
[14378:547560:1] |
Generators of the group modulo torsion |
j |
19129597231400697604/26325 |
j-invariant |
L |
5.2869403236895 |
L(r)(E,1)/r! |
Ω |
0.152091214468 |
Real period |
R |
2.1726026146703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680bu4 20280y3 4680q3 |
Quadratic twists by: -4 -3 13 |