Atkin-Lehner |
2+ 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
13944c |
Isogeny class |
Conductor |
13944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24640 |
Modular degree for the optimal curve |
Δ |
-6248086419456 = -1 · 211 · 37 · 75 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 3 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2568,-110196] |
[a1,a2,a3,a4,a6] |
j |
914133635854/3050823447 |
j-invariant |
L |
0.38460358552368 |
L(r)(E,1)/r! |
Ω |
0.38460358552368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27888k1 111552bf1 41832u1 97608i1 |
Quadratic twists by: -4 8 -3 -7 |