Atkin-Lehner |
2+ 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24528c |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-78612043776 = -1 · 211 · 3 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1064,19344] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:140:1] [10:-98:1] |
Generators of the group modulo torsion |
j |
-65106860114/38384787 |
j-invariant |
L |
6.3154356846785 |
L(r)(E,1)/r! |
Ω |
1.005980562997 |
Real period |
R |
0.7847362957323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12264b2 98112cb2 73584h2 |
Quadratic twists by: -4 8 -3 |