Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930ct |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
-1404416800730160000 = -1 · 27 · 310 · 54 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,116325,-54885783] |
[a1,a2,a3,a4,a6] |
Generators |
[447:9086:1] |
Generators of the group modulo torsion |
j |
1479634409024351/11937345840000 |
j-invariant |
L |
7.5936256810357 |
L(r)(E,1)/r! |
Ω |
0.13394843794072 |
Real period |
R |
0.50616662902008 |
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 |
83790bl2 3990w2 |
Quadratic twists by: -3 -7 |