Atkin-Lehner |
2+ 3- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
42570f |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-92669568750 = -1 · 2 · 36 · 55 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 11+ 4 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2970,64746] |
[a1,a2,a3,a4,a6] |
j |
-3975097468321/127118750 |
j-invariant |
L |
2.131439458914 |
L(r)(E,1)/r! |
Ω |
1.0657197293718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4730h1 |
Quadratic twists by: -3 |