Atkin-Lehner |
2- 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
99280y |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
21603328000 = 213 · 53 · 172 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- -1 -5 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72880,7548628] |
[a1,a2,a3,a4,a6] |
Generators |
[186:680:1] [36:2230:1] |
Generators of the group modulo torsion |
j |
10451889631548721/5274250 |
j-invariant |
L |
12.849795978889 |
L(r)(E,1)/r! |
Ω |
0.9899818148144 |
Real period |
R |
0.54082626343665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410q1 |
Quadratic twists by: -4 |