Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930k |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
63590400 |
Modular degree for the optimal curve |
Δ |
-1.7087589549585E+25 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 -1 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-299056495,2000557951261] |
[a1,a2,a3,a4,a6] |
Generators |
[-3835:1760049:1] |
Generators of the group modulo torsion |
j |
-1642225932254270943/9487030119760 |
j-invariant |
L |
1.7950482254721 |
L(r)(E,1)/r! |
Ω |
0.069693428052026 |
Real period |
R |
0.71545412659922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89930s1 |
Quadratic twists by: -23 |