Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550li |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
-111495957300000000 = -1 · 28 · 36 · 58 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1011263,-391834983] |
[a1,a2,a3,a4,a6] |
j |
-2488672890625/2426112 |
j-invariant |
L |
3.6130116830564 |
L(r)(E,1)/r! |
Ω |
0.075271078789543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550z1 1950r1 |
Quadratic twists by: 5 -7 |