Atkin-Lehner |
2- 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17094u |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
421414655508 = 22 · 34 · 74 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1895212,-1005023431] |
[a1,a2,a3,a4,a6] |
j |
752830349993767902935233/421414655508 |
j-invariant |
L |
4.1175139804176 |
L(r)(E,1)/r! |
Ω |
0.12867231188805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51282s4 119658cx4 |
Quadratic twists by: -3 -7 |