Atkin-Lehner |
2+ 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370f |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
289536 |
Modular degree for the optimal curve |
Δ |
-9351552000000 = -1 · 213 · 3 · 56 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-578,-147468] |
[a1,a2,a3,a4,a6] |
j |
-62429032063/27264000000 |
j-invariant |
L |
1.3085696182443 |
L(r)(E,1)/r! |
Ω |
0.32714232239922 |
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 |
104370bw1 |
Quadratic twists by: -7 |