Atkin-Lehner |
2- 3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bm |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.919013254144E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-213315536,-1199101875264] |
[a1,a2,a3,a4,a6] |
Generators |
[-1638955586693141608:-200827785016096:194396344776089] |
Generators of the group modulo torsion |
j |
262078398612197655195144529/7126497202500000 |
j-invariant |
L |
6.7988409571648 |
L(r)(E,1)/r! |
Ω |
0.039504260236224 |
Real period |
R |
21.512999290097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999673812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bh2 |
Quadratic twists by: -4 |