Atkin-Lehner |
2- 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
62050bb |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
77562500 = 22 · 56 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -4 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-663,6281] |
[a1,a2,a3,a4,a6] |
Generators |
[102:29:8] |
Generators of the group modulo torsion |
j |
2062933417/4964 |
j-invariant |
L |
13.824752508522 |
L(r)(E,1)/r! |
Ω |
1.9372623162313 |
Real period |
R |
3.5681157869124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2482c1 |
Quadratic twists by: 5 |