Atkin-Lehner |
2+ 3+ 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
113520f |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
2030767794000 = 24 · 33 · 53 · 11 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12991,-561470] |
[a1,a2,a3,a4,a6] |
Generators |
[-26974332840:4875267545:385828352] |
Generators of the group modulo torsion |
j |
15155312915052544/126922987125 |
j-invariant |
L |
5.8970336194691 |
L(r)(E,1)/r! |
Ω |
0.44740982574521 |
Real period |
R |
13.180384744582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999620837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56760f1 |
Quadratic twists by: -4 |