Atkin-Lehner |
2- 3- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bw |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-23200425000 = -1 · 23 · 36 · 55 · 19 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 3 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,223,-7271] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-244:1] |
Generators of the group modulo torsion |
j |
1689410871/31825000 |
j-invariant |
L |
7.5057197447993 |
L(r)(E,1)/r! |
Ω |
0.58480504952751 |
Real period |
R |
0.4278189063976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12730a1 |
Quadratic twists by: -3 |