Atkin-Lehner |
2- 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
99280u |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
460496539648000 = 215 · 53 · 172 · 733 |
Discriminant |
Eigenvalues |
2- -1 5- 1 3 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26120,-1245968] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:170:1] [-103:584:1] |
Generators of the group modulo torsion |
j |
481171514159881/112425913000 |
j-invariant |
L |
10.575421543875 |
L(r)(E,1)/r! |
Ω |
0.38187306250117 |
Real period |
R |
0.76926533548681 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410c1 |
Quadratic twists by: -4 |