Atkin-Lehner |
2- 3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478cn |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
456 |
Product of Tamagawa factors cp |
deg |
1400832 |
Modular degree for the optimal curve |
Δ |
-96795462615957504 = -1 · 219 · 33 · 77 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 1 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47531,-15494991] |
[a1,a2,a3,a4,a6] |
Generators |
[550:-11447:1] |
Generators of the group modulo torsion |
j |
-100940836056481/822747856896 |
j-invariant |
L |
13.121619451565 |
L(r)(E,1)/r! |
Ω |
0.14229379857565 |
Real period |
R |
0.20222582773364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18354v1 |
Quadratic twists by: -7 |