Atkin-Lehner |
2- 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51646t |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-1255204384 = -1 · 25 · 74 · 17 · 312 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ -2 -6 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,244,-848] |
[a1,a2,a3,a4,a6] |
Generators |
[4:12:1] [12:-68:1] |
Generators of the group modulo torsion |
j |
668944031/522784 |
j-invariant |
L |
9.3914199301505 |
L(r)(E,1)/r! |
Ω |
0.85307213482569 |
Real period |
R |
0.36696466597038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51646bi1 |
Quadratic twists by: -7 |