Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270q |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1324824020100 = 22 · 38 · 52 · 74 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3060,35100] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:330:1] |
Generators of the group modulo torsion |
j |
4347507044161/1817316900 |
j-invariant |
L |
3.7056186799646 |
L(r)(E,1)/r! |
Ω |
0.77594550693158 |
Real period |
R |
0.59695214529598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6090bc2 91350ea2 127890cq2 |
Quadratic twists by: -3 5 -7 |