Atkin-Lehner |
2- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
99280l |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
55304519680 = 219 · 5 · 172 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 -3 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14016,-643276] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:2:1] |
Generators of the group modulo torsion |
j |
74347610643649/13502080 |
j-invariant |
L |
7.4923401143126 |
L(r)(E,1)/r! |
Ω |
0.4387788475915 |
Real period |
R |
2.1344294955713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410k1 |
Quadratic twists by: -4 |