Atkin-Lehner |
2+ 3- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18330p |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
9847299021206400 = 27 · 318 · 52 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-796803,-273787394] |
[a1,a2,a3,a4,a6] |
Generators |
[-520:357:1] |
Generators of the group modulo torsion |
j |
55946872030515246878761/9847299021206400 |
j-invariant |
L |
4.9424507438012 |
L(r)(E,1)/r! |
Ω |
0.15979620711686 |
Real period |
R |
1.7183173607934 |
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 |
54990bl2 91650ca2 |
Quadratic twists by: -3 5 |