Atkin-Lehner |
2- 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47120l |
Isogeny class |
Conductor |
47120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1145958400 = -1 · 212 · 52 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -6 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,157,1442] |
[a1,a2,a3,a4,a6] |
Generators |
[1:40:1] |
Generators of the group modulo torsion |
j |
104487111/279775 |
j-invariant |
L |
3.1860241969651 |
L(r)(E,1)/r! |
Ω |
1.082351310395 |
Real period |
R |
0.73590343688767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2945a1 |
Quadratic twists by: -4 |