Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904y |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-1482080256 = -1 · 214 · 32 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 -3 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1605,-24291] |
[a1,a2,a3,a4,a6] |
Generators |
[60:303:1] |
Generators of the group modulo torsion |
j |
-27925402624/90459 |
j-invariant |
L |
5.8325623126935 |
L(r)(E,1)/r! |
Ω |
0.37704572134301 |
Real period |
R |
3.8672778809467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904k1 20976c1 |
Quadratic twists by: -4 8 |