Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5712d |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15892404060653568 = 211 · 38 · 72 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -6 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-268472,-53108208] |
[a1,a2,a3,a4,a6] |
j |
1044942448578893426/7759962920241 |
j-invariant |
L |
1.6786458580759 |
L(r)(E,1)/r! |
Ω |
0.20983073225949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2856a2 22848ct2 17136l2 39984z2 |
Quadratic twists by: -4 8 -3 -7 |