Atkin-Lehner |
2+ 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430b |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
24487895040000 = 216 · 3 · 54 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7423,-65723] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:272:1] |
Generators of the group modulo torsion |
j |
45243220068999289/24487895040000 |
j-invariant |
L |
3.1098225522555 |
L(r)(E,1)/r! |
Ω |
0.54817539565622 |
Real period |
R |
1.4182607322848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290ci1 87150ch1 122010x1 |
Quadratic twists by: -3 5 -7 |