Atkin-Lehner |
2+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400bm |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-4949278720000 = -1 · 227 · 54 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 -4 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1567,-104863] |
[a1,a2,a3,a4,a6] |
Generators |
[2739:28160:27] |
Generators of the group modulo torsion |
j |
2595575/30208 |
j-invariant |
L |
10.813968379867 |
L(r)(E,1)/r! |
Ω |
0.37791988726975 |
Real period |
R |
2.3845372045075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400di1 2950i1 94400y1 |
Quadratic twists by: -4 8 5 |