Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744bc |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-779216621568 = -1 · 212 · 3 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 0 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2287,-4929] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1323:1] |
Generators of the group modulo torsion |
j |
56000/33 |
j-invariant |
L |
7.4338254032449 |
L(r)(E,1)/r! |
Ω |
0.52605863527799 |
Real period |
R |
2.3551954429581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51744b1 103488er1 51744q1 |
Quadratic twists by: -4 8 -7 |