Atkin-Lehner |
2+ 3- 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190r |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
60719862304687500 = 22 · 36 · 512 · 19 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-589273,173656256] |
[a1,a2,a3,a4,a6] |
Generators |
[-635:17402:1] |
Generators of the group modulo torsion |
j |
22629360459699409186441/60719862304687500 |
j-invariant |
L |
6.2219887384596 |
L(r)(E,1)/r! |
Ω |
0.35181831234071 |
Real period |
R |
2.2106540933949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
114570bm2 |
Quadratic twists by: -3 |