Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650bx |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-263055810937500 = -1 · 22 · 33 · 58 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27838,1939031] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:1677:1] |
Generators of the group modulo torsion |
j |
-152692868077849/16835571900 |
j-invariant |
L |
7.8273284374772 |
L(r)(E,1)/r! |
Ω |
0.53723070496099 |
Real period |
R |
3.6424427928366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130k1 |
Quadratic twists by: 5 |