Atkin-Lehner |
2- 3+ 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
101616j |
Isogeny class |
Conductor |
101616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-2701202148152064 = -1 · 28 · 35 · 296 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 -4 -2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66189,7037217] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:24389:8] |
Generators of the group modulo torsion |
j |
-125270199006502912/10551570891219 |
j-invariant |
L |
3.5540146119919 |
L(r)(E,1)/r! |
Ω |
0.44512052235414 |
Real period |
R |
1.9960967963975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048577 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25404f1 |
Quadratic twists by: -4 |