Atkin-Lehner |
2+ 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81984q |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-10076257114914816 = -1 · 225 · 33 · 72 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83937,10560609] |
[a1,a2,a3,a4,a6] |
j |
-249487788397177/38437870464 |
j-invariant |
L |
1.5728028697368 |
L(r)(E,1)/r! |
Ω |
0.39320071901547 |
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 |
81984cm1 2562g1 |
Quadratic twists by: -4 8 |