Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720v |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-894680432640 = -1 · 218 · 35 · 5 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1856,54324] |
[a1,a2,a3,a4,a6] |
Generators |
[10:192:1] |
Generators of the group modulo torsion |
j |
-172715635009/218427840 |
j-invariant |
L |
5.5735670553193 |
L(r)(E,1)/r! |
Ω |
0.80089893817164 |
Real period |
R |
0.69591390245104 |
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 |
1590j1 50880cu1 38160cc1 63600bw1 |
Quadratic twists by: -4 8 -3 5 |