Atkin-Lehner |
2+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3850i |
Isogeny class |
Conductor |
3850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
29476562500 = 22 · 59 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9742,-367584] |
[a1,a2,a3,a4,a6] |
j |
52355598021/15092 |
j-invariant |
L |
0.48055482979108 |
L(r)(E,1)/r! |
Ω |
0.48055482979108 |
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 |
30800cy1 123200cy1 34650ef1 3850x1 |
Quadratic twists by: -4 8 -3 5 |