Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585be |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.9773675589393E+26 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,110205891,-509369752760] |
[a1,a2,a3,a4,a6] |
Generators |
[13736:1889432:1] |
Generators of the group modulo torsion |
j |
1725926797674974865599/2305534558266069375 |
j-invariant |
L |
9.6614317105355 |
L(r)(E,1)/r! |
Ω |
0.030129704164686 |
Real period |
R |
5.0103336444765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27195f7 11655f8 |
Quadratic twists by: -3 -7 |