Atkin-Lehner |
2+ 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69384g |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4280039568193536 = -1 · 211 · 36 · 77 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11384,-3178356] |
[a1,a2,a3,a4,a6] |
Generators |
[1008579:27365814:1331] |
Generators of the group modulo torsion |
j |
-677217746/17763543 |
j-invariant |
L |
3.6436170850228 |
L(r)(E,1)/r! |
Ω |
0.18970243658876 |
Real period |
R |
9.6035062883735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9912h2 |
Quadratic twists by: -7 |