Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270c |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1947491309547000 = 23 · 39 · 53 · 76 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-149595,-22131379] |
[a1,a2,a3,a4,a6] |
Generators |
[-223:430:1] |
Generators of the group modulo torsion |
j |
18809848037433123/98942809000 |
j-invariant |
L |
3.2935511663825 |
L(r)(E,1)/r! |
Ω |
0.24283298324128 |
Real period |
R |
2.2605050890128 |
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 |
18270bi2 91350dc4 127890w4 |
Quadratic twists by: -3 5 -7 |