Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
80864d |
Isogeny class |
Conductor |
80864 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-6730439438183104 = -1 · 26 · 76 · 197 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32129,4526940] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:2310:1] |
Generators of the group modulo torsion |
j |
-1218186432/2235331 |
j-invariant |
L |
8.6125920114235 |
L(r)(E,1)/r! |
Ω |
0.37613964817616 |
Real period |
R |
3.8162209411079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80864h1 4256b1 |
Quadratic twists by: -4 -19 |