Atkin-Lehner |
2- 3+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630z |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
242332175250 = 2 · 39 · 53 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 11+ -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2950562,-1950028289] |
[a1,a2,a3,a4,a6] |
j |
144326645036289953307/12311750 |
j-invariant |
L |
6.2203832003558 |
L(r)(E,1)/r! |
Ω |
0.11519228148813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36630d1 |
Quadratic twists by: -3 |