Atkin-Lehner |
2- 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
116200w |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-74368000 = -1 · 210 · 53 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 6 -6 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-395,-3050] |
[a1,a2,a3,a4,a6] |
Generators |
[30:110:1] |
Generators of the group modulo torsion |
j |
-53248212/581 |
j-invariant |
L |
6.2519665322584 |
L(r)(E,1)/r! |
Ω |
0.53510364486213 |
Real period |
R |
2.9209138378674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999494145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116200p1 |
Quadratic twists by: 5 |