Atkin-Lehner |
2- 3+ 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430w |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
53806410000 = 24 · 33 · 54 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-112130,14405375] |
[a1,a2,a3,a4,a6] |
Generators |
[-385:1025:1] |
Generators of the group modulo torsion |
j |
155915546268841823521/53806410000 |
j-invariant |
L |
7.046140304589 |
L(r)(E,1)/r! |
Ω |
0.9046704188383 |
Real period |
R |
3.8943134194865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52290q1 87150bm1 122010da1 |
Quadratic twists by: -3 5 -7 |