Atkin-Lehner |
2+ 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430p |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
1673280 = 26 · 32 · 5 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53,128] |
[a1,a2,a3,a4,a6] |
j |
16022066761/1673280 |
j-invariant |
L |
2.5811359505575 |
L(r)(E,1)/r! |
Ω |
2.5811359505575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290by1 87150cb1 122010c1 |
Quadratic twists by: -3 5 -7 |