Atkin-Lehner |
3- 5- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77805x |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-21300665975172675 = -1 · 37 · 52 · 72 · 132 · 196 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 6 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113432,16323414] |
[a1,a2,a3,a4,a6] |
Generators |
[-208:5661:1] |
Generators of the group modulo torsion |
j |
-221411086419185209/29219020542075 |
j-invariant |
L |
4.8605661769752 |
L(r)(E,1)/r! |
Ω |
0.37088769229238 |
Real period |
R |
0.2730254940522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935c2 |
Quadratic twists by: -3 |