Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744s |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
166656 |
Modular degree for the optimal curve |
Δ |
-419997759025152 = -1 · 212 · 3 · 710 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6403,963957] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:92:1] |
Generators of the group modulo torsion |
j |
25088/363 |
j-invariant |
L |
6.3209663951197 |
L(r)(E,1)/r! |
Ω |
0.39374030252427 |
Real period |
R |
4.0134108412522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51744ch1 103488dg1 51744bd1 |
Quadratic twists by: -4 8 -7 |