Atkin-Lehner |
3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18411a |
Isogeny class |
Conductor |
18411 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-28334529 = -1 · 35 · 17 · 193 |
Discriminant |
Eigenvalues |
-1 3+ -1 -3 6 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,59,212] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:10:1] |
Generators of the group modulo torsion |
j |
3307949/4131 |
j-invariant |
L |
2.1400535563179 |
L(r)(E,1)/r! |
Ω |
1.4095620064379 |
Real period |
R |
0.75912004812261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55233h1 18411i1 |
Quadratic twists by: -3 -19 |