Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35700b |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-22758750000 = -1 · 24 · 32 · 57 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-7238] |
[a1,a2,a3,a4,a6] |
j |
-1048576/91035 |
j-invariant |
L |
1.0635962667968 |
L(r)(E,1)/r! |
Ω |
0.53179813338981 |
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 |
107100bb1 7140q1 |
Quadratic twists by: -3 5 |