Atkin-Lehner |
2- 3- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17094y |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7592327474878608 = 24 · 3 · 72 · 119 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7221214853,-236191693581519] |
[a1,a2,a3,a4,a6] |
Generators |
[-76580678288760:38290577784243:1560896000] |
Generators of the group modulo torsion |
j |
41644198932670714066686473305308625/7592327474878608 |
j-invariant |
L |
9.2199962147597 |
L(r)(E,1)/r! |
Ω |
0.016377476615053 |
Real period |
R |
15.638001627806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51282q5 119658cd5 |
Quadratic twists by: -3 -7 |