Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24528j |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-21938287622832 = -1 · 24 · 37 · 76 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7617,343512] |
[a1,a2,a3,a4,a6] |
Generators |
[8:532:1] |
Generators of the group modulo torsion |
j |
-3055009826357248/1371142976427 |
j-invariant |
L |
5.679125389306 |
L(r)(E,1)/r! |
Ω |
0.63484017235675 |
Real period |
R |
2.9819187235863 |
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 |
6132e1 98112cc1 73584bd1 |
Quadratic twists by: -4 8 -3 |