Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952dr |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1263640527765504 = -1 · 219 · 310 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 2 0 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63651,6413218] |
[a1,a2,a3,a4,a6] |
Generators |
[177:832:1] |
Generators of the group modulo torsion |
j |
-3977954113/176256 |
j-invariant |
L |
9.6073677532835 |
L(r)(E,1)/r! |
Ω |
0.4798306847238 |
Real period |
R |
2.5028015232021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994o1 39984cy1 119952gy1 |
Quadratic twists by: -4 -3 -7 |