Atkin-Lehner |
3- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
80997u |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2091672452849553 = 33 · 78 · 19 · 294 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39397,-2056888] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:593:1] |
Generators of the group modulo torsion |
j |
57481172513857/17778922497 |
j-invariant |
L |
6.8817675443935 |
L(r)(E,1)/r! |
Ω |
0.34706023018377 |
Real period |
R |
1.6523951148085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571b1 |
Quadratic twists by: -7 |