Atkin-Lehner |
2+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800bf |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
306184192000000000 = 231 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 -1 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-292833,54973537] |
[a1,a2,a3,a4,a6] |
Generators |
[201:2048:1] |
Generators of the group modulo torsion |
j |
5423945093/598016 |
j-invariant |
L |
3.9050277814365 |
L(r)(E,1)/r! |
Ω |
0.2968742810734 |
Real period |
R |
1.6442262210039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999057006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800cv1 3650e1 116800x1 |
Quadratic twists by: -4 8 5 |