Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bh |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
2533495507920 = 24 · 38 · 5 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23322,1368731] |
[a1,a2,a3,a4,a6] |
Generators |
[1033505:28279584:1331] |
Generators of the group modulo torsion |
j |
24918016/45 |
j-invariant |
L |
8.403871078141 |
L(r)(E,1)/r! |
Ω |
0.81312709998556 |
Real period |
R |
10.335249010631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026771 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840bs1 40560a1 720c1 |
Quadratic twists by: -4 -3 13 |