Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720l |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-412128000000 = -1 · 211 · 35 · 56 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -1 2 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40,30900] |
[a1,a2,a3,a4,a6] |
Generators |
[10:180:1] |
Generators of the group modulo torsion |
j |
3370318/201234375 |
j-invariant |
L |
5.1311914374199 |
L(r)(E,1)/r! |
Ω |
0.74788107059214 |
Real period |
R |
0.057174770597296 |
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 |
6360c1 50880cl1 38160j1 63600f1 |
Quadratic twists by: -4 8 -3 5 |