Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cc |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-1.4220074657028E+31 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4499820897,215441560618708] |
[a1,a2,a3,a4,a6] |
Generators |
[15676814691010:11280052565357801:29791000] |
Generators of the group modulo torsion |
j |
-42484640023394137/59954864062464 |
j-invariant |
L |
7.9493776015407 |
L(r)(E,1)/r! |
Ω |
0.020041201920552 |
Real period |
R |
19.832586970217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138c2 84966bi2 |
Quadratic twists by: -7 17 |