Atkin-Lehner |
2+ 3- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18354k |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-611683758 = -1 · 2 · 33 · 72 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,34,1190] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:33:1] |
Generators of the group modulo torsion |
j |
4533086375/611683758 |
j-invariant |
L |
4.6292870407477 |
L(r)(E,1)/r! |
Ω |
1.2515907795474 |
Real period |
R |
1.849361275425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55062bj1 128478i1 |
Quadratic twists by: -3 -7 |