Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248z |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-1164908577536 = -1 · 28 · 113 · 434 |
Discriminant |
Eigenvalues |
2- 3 -3 -4 11+ -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-319264,69434156] |
[a1,a2,a3,a4,a6] |
Generators |
[8778:-946:27] |
Generators of the group modulo torsion |
j |
-10562228118355968/3418801 |
j-invariant |
L |
7.1844768964683 |
L(r)(E,1)/r! |
Ω |
0.69848757205139 |
Real period |
R |
0.64286012213682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20812c1 83248v1 |
Quadratic twists by: -4 -11 |