Atkin-Lehner |
2+ 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
93808r |
Isogeny class |
Conductor |
93808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44032 |
Modular degree for the optimal curve |
Δ |
-19512064 = -1 · 28 · 11 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -1 1 11- 13- 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2516,49424] |
[a1,a2,a3,a4,a6] |
Generators |
[28:12:1] |
Generators of the group modulo torsion |
j |
-6883166242384/76219 |
j-invariant |
L |
9.9706962128022 |
L(r)(E,1)/r! |
Ω |
1.9652735201312 |
Real period |
R |
1.2683598640952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46904a1 |
Quadratic twists by: -4 |