Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bv |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-896532480 = -1 · 220 · 32 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,1441] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:36:1] |
Generators of the group modulo torsion |
j |
-1/3420 |
j-invariant |
L |
4.1871070038132 |
L(r)(E,1)/r! |
Ω |
1.2530466447549 |
Real period |
R |
1.6707706059227 |
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 |
18240bb1 4560ba1 54720ew1 91200ie1 |
Quadratic twists by: -4 8 -3 5 |