Atkin-Lehner |
2- 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270bi |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
336034080900 = 22 · 39 · 52 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-96122,-11446379] |
[a1,a2,a3,a4,a6] |
j |
4989954429855387/17072300 |
j-invariant |
L |
4.8805279278483 |
L(r)(E,1)/r! |
Ω |
0.27114044043602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18270c1 91350b3 127890dh3 |
Quadratic twists by: -3 5 -7 |