Atkin-Lehner |
2+ 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430o |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
199326394890 = 2 · 310 · 5 · 72 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3034,60362] |
[a1,a2,a3,a4,a6] |
Generators |
[58:254:1] |
Generators of the group modulo torsion |
j |
3087199234101529/199326394890 |
j-invariant |
L |
4.6597490716523 |
L(r)(E,1)/r! |
Ω |
0.98663234119411 |
Real period |
R |
0.47228829596369 |
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 |
52290cr2 87150bz2 122010k2 |
Quadratic twists by: -3 5 -7 |