Atkin-Lehner |
2- 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
12390u |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
1189440 = 26 · 32 · 5 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35,-63] |
[a1,a2,a3,a4,a6] |
j |
4750104241/1189440 |
j-invariant |
L |
5.9957983302063 |
L(r)(E,1)/r! |
Ω |
1.9985994434021 |
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 |
99120bx1 37170i1 61950d1 86730bx1 |
Quadratic twists by: -4 -3 5 -7 |