Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400w |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-3093299200 = -1 · 221 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 3 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353,3583] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:8:1] [19:64:1] |
Generators of the group modulo torsion |
j |
-744385/472 |
j-invariant |
L |
8.4831520481448 |
L(r)(E,1)/r! |
Ω |
1.3141065021161 |
Real period |
R |
1.6138631143855 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400bx1 2950d1 94400bl1 |
Quadratic twists by: -4 8 5 |