Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410c |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-1588261500 = -1 · 22 · 33 · 53 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,285,-575] |
[a1,a2,a3,a4,a6] |
j |
804357/500 |
j-invariant |
L |
1.7331276220543 |
L(r)(E,1)/r! |
Ω |
0.86656381102716 |
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 |
35280df1 4410z3 22050dh1 90a1 |
Quadratic twists by: -4 -3 5 -7 |