Atkin-Lehner |
2- 3+ 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bw |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5330557440000 = -1 · 212 · 32 · 54 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3240,132912] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:390:1] |
Generators of the group modulo torsion |
j |
-918613512361/1301405625 |
j-invariant |
L |
7.303881275574 |
L(r)(E,1)/r! |
Ω |
0.68766962495145 |
Real period |
R |
0.66382542690173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999424443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215i2 |
Quadratic twists by: -4 |