Atkin-Lehner |
2- 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24360s |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1572031041840 = -1 · 24 · 34 · 5 · 73 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1951,69496] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:315:1] [-27:319:1] |
Generators of the group modulo torsion |
j |
-51356819421184/98251940115 |
j-invariant |
L |
6.4009799466161 |
L(r)(E,1)/r! |
Ω |
0.75407093654443 |
Real period |
R |
0.70738039314421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48720o1 73080p1 121800u1 |
Quadratic twists by: -4 -3 5 |