Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24720k |
Isogeny class |
Conductor |
24720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-632832000 = -1 · 214 · 3 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -4 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,1216] |
[a1,a2,a3,a4,a6] |
j |
-117649/154500 |
j-invariant |
L |
2.6151207725526 |
L(r)(E,1)/r! |
Ω |
1.3075603862762 |
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 |
3090l1 98880ca1 74160br1 123600co1 |
Quadratic twists by: -4 8 -3 5 |