Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270q |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-94742942253750 = -1 · 2 · 37 · 54 · 72 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10170,249426] |
[a1,a2,a3,a4,a6] |
Generators |
[33:771:1] |
Generators of the group modulo torsion |
j |
159564039253919/129962883750 |
j-invariant |
L |
3.7056186799646 |
L(r)(E,1)/r! |
Ω |
0.38797275346579 |
Real period |
R |
1.193904290592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6090bc4 91350ea3 127890cq3 |
Quadratic twists by: -3 5 -7 |