Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312z |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4038963289986695168 = 223 · 78 · 174 |
Discriminant |
Eigenvalues |
2+ 2 4 7- 4 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-403041,18841313] |
[a1,a2,a3,a4,a6] |
Generators |
[130065:6190856:3375] |
Generators of the group modulo torsion |
j |
234770924809/130960928 |
j-invariant |
L |
12.159042099853 |
L(r)(E,1)/r! |
Ω |
0.21394481864544 |
Real period |
R |
7.1040760513979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312ck2 1666g2 7616d2 |
Quadratic twists by: -4 8 -7 |