Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360l |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-149131391431680 = -1 · 210 · 38 · 5 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18003,1099838] |
[a1,a2,a3,a4,a6] |
Generators |
[31:756:1] |
Generators of the group modulo torsion |
j |
-864432072004/199775205 |
j-invariant |
L |
6.3904195436112 |
L(r)(E,1)/r! |
Ω |
0.55235367774186 |
Real period |
R |
0.72308963789027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016274 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120w2 |
Quadratic twists by: -3 |