Atkin-Lehner |
2- 3- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
30222p |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
704465288102088 = 23 · 310 · 234 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38345,-2583039] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:572:1] |
Generators of the group modulo torsion |
j |
8552868444087625/966344702472 |
j-invariant |
L |
9.7316090721947 |
L(r)(E,1)/r! |
Ω |
0.34367974580519 |
Real period |
R |
2.3596602144328 |
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 |
10074h2 |
Quadratic twists by: -3 |