Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
14820f |
Isogeny class |
Conductor |
14820 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-28134843750000 = -1 · 24 · 36 · 510 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 13- 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6370,-319475] |
[a1,a2,a3,a4,a6] |
Generators |
[115:675:1] |
Generators of the group modulo torsion |
j |
-1786858666145536/1758427734375 |
j-invariant |
L |
4.5847479120912 |
L(r)(E,1)/r! |
Ω |
0.25694858447666 |
Real period |
R |
0.89215278640848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59280cd1 44460k1 74100u1 |
Quadratic twists by: -4 -3 5 |