Atkin-Lehner |
2+ 3- 7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
92106m |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
659456 |
Modular degree for the optimal curve |
Δ |
-26874351907490052 = -1 · 22 · 313 · 78 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53352,9217012] |
[a1,a2,a3,a4,a6] |
Generators |
[794:21212:1] |
Generators of the group modulo torsion |
j |
-23038429787178625/36864680257188 |
j-invariant |
L |
3.9178172166622 |
L(r)(E,1)/r! |
Ω |
0.33661188856131 |
Real period |
R |
1.4548718205406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30702o1 |
Quadratic twists by: -3 |