Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240by |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-507617280 = -1 · 213 · 36 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1467,-21654] |
[a1,a2,a3,a4,a6] |
j |
-116930169/170 |
j-invariant |
L |
0.77135478303852 |
L(r)(E,1)/r! |
Ω |
0.38567739151926 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1530n1 48960eg1 1360h1 61200fp1 |
Quadratic twists by: -4 8 -3 5 |