Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119064p |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-2831611053626025264 = -1 · 24 · 32 · 1111 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 11- -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-337751,110849664] |
[a1,a2,a3,a4,a6] |
Generators |
[1313:43923:1] |
Generators of the group modulo torsion |
j |
-150327638431744/99898163739 |
j-invariant |
L |
3.8198962328142 |
L(r)(E,1)/r! |
Ω |
0.23504583601428 |
Real period |
R |
1.0157317401559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999379967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10824d1 |
Quadratic twists by: -11 |