Atkin-Lehner |
2- 3- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17094z |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-2284356889384416 = -1 · 25 · 32 · 76 · 113 · 373 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,23978,1803524] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:800:1] |
Generators of the group modulo torsion |
j |
1524619421247611807/2284356889384416 |
j-invariant |
L |
7.365619929364 |
L(r)(E,1)/r! |
Ω |
0.31305755122136 |
Real period |
R |
0.13071114419391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51282u2 119658cf2 |
Quadratic twists by: -3 -7 |