Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312cf |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2739227698399281152 = 225 · 710 · 172 |
Discriminant |
Eigenvalues |
2- 2 -4 7- -6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2195265,1250122721] |
[a1,a2,a3,a4,a6] |
Generators |
[-1381:40572:1] [581:13056:1] |
Generators of the group modulo torsion |
j |
37936442980801/88817792 |
j-invariant |
L |
10.255718821768 |
L(r)(E,1)/r! |
Ω |
0.25592788567841 |
Real period |
R |
5.0090862483503 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312bd2 13328y2 7616h2 |
Quadratic twists by: -4 8 -7 |