Atkin-Lehner |
2- 3- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390w |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
34406400 |
Modular degree for the optimal curve |
Δ |
-6.6617509691114E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-81301748,483572159831] |
[a1,a2,a3,a4,a6] |
Generators |
[-8859:717517:1] |
Generators of the group modulo torsion |
j |
-81525942463564147950983161/91382043472035840000000 |
j-invariant |
L |
9.3196688418062 |
L(r)(E,1)/r! |
Ω |
0.056144441327541 |
Real period |
R |
4.1498626638025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130p1 |
Quadratic twists by: -3 |