Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
49800f |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-4780800 = -1 · 28 · 32 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 5 2 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12,-108] |
[a1,a2,a3,a4,a6] |
Generators |
[6:12:1] |
Generators of the group modulo torsion |
j |
27440/747 |
j-invariant |
L |
4.5824657623912 |
L(r)(E,1)/r! |
Ω |
1.1782007919363 |
Real period |
R |
0.9723439743374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600bf1 49800bk1 |
Quadratic twists by: -4 5 |