Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24024w |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-423686495232 = -1 · 210 · 310 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4488,-118404] |
[a1,a2,a3,a4,a6] |
Generators |
[57070:1204112:125] |
Generators of the group modulo torsion |
j |
-9765153278500/413756343 |
j-invariant |
L |
4.3120481304308 |
L(r)(E,1)/r! |
Ω |
0.29091939400394 |
Real period |
R |
7.4110702471291 |
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 |
48048t1 72072q1 |
Quadratic twists by: -4 -3 |