Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270y |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
1056 |
Product of Tamagawa factors cp |
Δ |
70625022647040000 = 211 · 312 · 54 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-495520,133606400] |
[a1,a2,a3,a4,a6] |
Generators |
[80:9680:1] |
Generators of the group modulo torsion |
j |
129602612829192047/680244480000 |
j-invariant |
L |
13.576112173594 |
L(r)(E,1)/r! |
Ω |
0.34817454513356 |
Real period |
R |
0.14769795219578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66270x2 |
Quadratic twists by: -47 |