Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90992k |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-21334861616820224 = -1 · 212 · 119 · 472 |
Discriminant |
Eigenvalues |
2- 1 3 4 11- 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,69051,804659] |
[a1,a2,a3,a4,a6] |
Generators |
[52368400:5922877537:4096] |
Generators of the group modulo torsion |
j |
5017776128/2940179 |
j-invariant |
L |
12.139201987465 |
L(r)(E,1)/r! |
Ω |
0.23191662998049 |
Real period |
R |
13.085739036898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5687b1 8272m1 |
Quadratic twists by: -4 -11 |