Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65268o |
Isogeny class |
Conductor |
65268 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
17042850749691648 = 28 · 310 · 77 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65415,-1420706] |
[a1,a2,a3,a4,a6] |
Generators |
[455:-7938:1] |
Generators of the group modulo torsion |
j |
1409938000/776223 |
j-invariant |
L |
6.1328524271549 |
L(r)(E,1)/r! |
Ω |
0.31933225823861 |
Real period |
R |
0.80021830298955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000806 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21756p2 9324h2 |
Quadratic twists by: -3 -7 |