Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680z |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7718310954848332800 = 210 · 37 · 52 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2519283,-1533273118] |
[a1,a2,a3,a4,a6] |
Generators |
[-949:1690:1] [-926:2358:1] |
Generators of the group modulo torsion |
j |
490757540836/2142075 |
j-invariant |
L |
9.6493416035445 |
L(r)(E,1)/r! |
Ω |
0.11986554617254 |
Real period |
R |
10.062672216909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999934346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840q4 40560l4 9360v3 |
Quadratic twists by: -4 -3 13 |