Atkin-Lehner |
5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
80465t |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
142548655865 = 5 · 7 · 118 · 19 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- 11- 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2120,-33065] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:72:1] |
Generators of the group modulo torsion |
j |
594823321/80465 |
j-invariant |
L |
3.2094881313714 |
L(r)(E,1)/r! |
Ω |
0.70988389762577 |
Real period |
R |
1.1302862835808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000021017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7315c1 |
Quadratic twists by: -11 |