Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
51744bh |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-6623232 = -1 · 212 · 3 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 0 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[25:132:1] |
Generators of the group modulo torsion |
j |
56000/33 |
j-invariant |
L |
7.435729315231 |
L(r)(E,1)/r! |
Ω |
1.3918203239836 |
Real period |
R |
2.6712245780061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51744q1 103488fz1 51744b1 |
Quadratic twists by: -4 8 -7 |