Atkin-Lehner |
2+ 3- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850bi |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
7765594838149218750 = 2 · 316 · 58 · 173 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 3 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3362576,2369249048] |
[a1,a2,a3,a4,a6] |
Generators |
[1098:544:1] |
Generators of the group modulo torsion |
j |
10764151919815009945/19879922785662 |
j-invariant |
L |
6.9378355990181 |
L(r)(E,1)/r! |
Ω |
0.23425832705182 |
Real period |
R |
1.8510109375076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850bz1 |
Quadratic twists by: 5 |