Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5950c |
Isogeny class |
Conductor |
5950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1580468750000000 = 27 · 514 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34526192,78094265216] |
[a1,a2,a3,a4,a6] |
j |
291306206119284545407569/101150000000 |
j-invariant |
L |
0.56875439492881 |
L(r)(E,1)/r! |
Ω |
0.2843771974644 |
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 |
47600n4 53550ea4 1190d4 41650r4 |
Quadratic twists by: -4 -3 5 -7 |