Atkin-Lehner |
2+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18424b |
Isogeny class |
Conductor |
18424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
485534599424 = 28 · 79 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5831,-168070] |
[a1,a2,a3,a4,a6] |
Generators |
[-2812:3681:64] |
Generators of the group modulo torsion |
j |
2122416/47 |
j-invariant |
L |
3.4825236234569 |
L(r)(E,1)/r! |
Ω |
0.5470778024644 |
Real period |
R |
6.365682555149 |
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 |
36848b1 18424a1 |
Quadratic twists by: -4 -7 |