Atkin-Lehner |
2- 7+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
116144g |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
284928 |
Modular degree for the optimal curve |
Δ |
-55968667467776 = -1 · 216 · 77 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 5 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6952,-425804] |
[a1,a2,a3,a4,a6] |
Generators |
[1038:33344:1] |
Generators of the group modulo torsion |
j |
-9073096362793/13664225456 |
j-invariant |
L |
4.8805772344508 |
L(r)(E,1)/r! |
Ω |
0.24813259879982 |
Real period |
R |
4.9173075409792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14518b1 |
Quadratic twists by: -4 |