Atkin-Lehner |
2- 3+ 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850ce |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
4896000 |
Modular degree for the optimal curve |
Δ |
-4.49530821252E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -5 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,595487,270016031] |
[a1,a2,a3,a4,a6] |
Generators |
[3735:231832:1] [-365:2232:1] |
Generators of the group modulo torsion |
j |
59783382924084815/115079890240512 |
j-invariant |
L |
13.239075179199 |
L(r)(E,1)/r! |
Ω |
0.13940446923044 |
Real period |
R |
0.31656266725569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850bh1 |
Quadratic twists by: 5 |