Atkin-Lehner |
2+ 3- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17094o |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
31344891732 = 22 · 36 · 74 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1093,10892] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:98:1] [-32:131:1] |
Generators of the group modulo torsion |
j |
144215816802121/31344891732 |
j-invariant |
L |
5.2180125614973 |
L(r)(E,1)/r! |
Ω |
1.1063539224888 |
Real period |
R |
0.19651685201535 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51282bt2 119658u2 |
Quadratic twists by: -3 -7 |