Atkin-Lehner |
3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22785c |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
29312716004775 = 38 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9924216,-12037647966] |
[a1,a2,a3,a4,a6] |
Generators |
[-138669593048:69398540621:76225024] |
Generators of the group modulo torsion |
j |
918806584975140864241/249153975 |
j-invariant |
L |
2.1535631948857 |
L(r)(E,1)/r! |
Ω |
0.085060024297128 |
Real period |
R |
12.659079354145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68355bi4 113925ch4 3255f4 |
Quadratic twists by: -3 5 -7 |