Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720r |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-159924375000000 = -1 · 26 · 39 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17697,1091464] |
[a1,a2,a3,a4,a6] |
Generators |
[68:450:1] |
Generators of the group modulo torsion |
j |
-13137573612736/3427734375 |
j-invariant |
L |
5.8650655414398 |
L(r)(E,1)/r! |
Ω |
0.54718650660111 |
Real period |
R |
1.0718585839901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18720s1 37440ei1 6240bc1 93600eg1 |
Quadratic twists by: -4 8 -3 5 |