Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24276j |
Isogeny class |
Conductor |
24276 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
28512 |
Modular degree for the optimal curve |
Δ |
-17201682288 = -1 · 24 · 312 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9378,-352755] |
[a1,a2,a3,a4,a6] |
j |
-19727991904000/3720087 |
j-invariant |
L |
2.9108141389314 |
L(r)(E,1)/r! |
Ω |
0.24256784491095 |
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 |
97104be1 72828v1 24276d1 |
Quadratic twists by: -4 -3 17 |