Atkin-Lehner |
2+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
5110c |
Isogeny class |
Conductor |
5110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-3992187500 = -1 · 22 · 59 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,382,-944] |
[a1,a2,a3,a4,a6] |
j |
6187953842279/3992187500 |
j-invariant |
L |
1.5922758467089 |
L(r)(E,1)/r! |
Ω |
0.79613792335443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40880y1 45990cb1 25550p1 35770e1 |
Quadratic twists by: -4 -3 5 -7 |