Atkin-Lehner |
2- 3- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
112176n |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14450688 |
Modular degree for the optimal curve |
Δ |
2.0737310401657E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34673835,37089344986] |
[a1,a2,a3,a4,a6] |
Generators |
[3826:1148661:8] |
Generators of the group modulo torsion |
j |
1543980711301828683625/694488329530785792 |
j-invariant |
L |
4.1856297280996 |
L(r)(E,1)/r! |
Ω |
0.074185509683701 |
Real period |
R |
7.0526402610183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14022h1 37392p1 |
Quadratic twists by: -4 -3 |