Atkin-Lehner |
2- 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83904bj |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-24744296448 = -1 · 221 · 33 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 2 -3 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-769,11425] |
[a1,a2,a3,a4,a6] |
Generators |
[21:64:1] |
Generators of the group modulo torsion |
j |
-192100033/94392 |
j-invariant |
L |
3.5071572728039 |
L(r)(E,1)/r! |
Ω |
1.1143658548987 |
Real period |
R |
0.78680562049546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904i1 20976h1 |
Quadratic twists by: -4 8 |