Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680x |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-204409405440 = -1 · 222 · 33 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1293,-12366] |
[a1,a2,a3,a4,a6] |
Generators |
[15:102:1] |
Generators of the group modulo torsion |
j |
2161700757/1848320 |
j-invariant |
L |
5.586740342009 |
L(r)(E,1)/r! |
Ω |
0.55284500058278 |
Real period |
R |
2.526359258074 |
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 |
1710b1 54720cx1 13680v1 68400dh1 |
Quadratic twists by: -4 8 -3 5 |