Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
13944k |
Isogeny class |
Conductor |
13944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-61478984448 = -1 · 28 · 310 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124,-11900] |
[a1,a2,a3,a4,a6] |
Generators |
[32:126:1] |
Generators of the group modulo torsion |
j |
-830321872/240152283 |
j-invariant |
L |
4.0255577808934 |
L(r)(E,1)/r! |
Ω |
0.49566560297273 |
Real period |
R |
2.0303798350896 |
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 |
27888i2 111552bu2 41832l2 97608x2 |
Quadratic twists by: -4 8 -3 -7 |