Atkin-Lehner |
3- 7+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
56763j |
Isogeny class |
Conductor |
56763 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-56980572579 = -1 · 312 · 7 · 172 · 53 |
Discriminant |
Eigenvalues |
2 3- 3 7+ 5 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,879,5593] |
[a1,a2,a3,a4,a6] |
Generators |
[1874:28913:8] |
Generators of the group modulo torsion |
j |
103029788672/78162651 |
j-invariant |
L |
15.670006393074 |
L(r)(E,1)/r! |
Ω |
0.71365659354658 |
Real period |
R |
2.7446685377919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18921a1 |
Quadratic twists by: -3 |