Atkin-Lehner |
2- 3- 5- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510v |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
40800 |
Modular degree for the optimal curve |
Δ |
-1277667084000 = -1 · 25 · 3 · 53 · 195 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4390,124100] |
[a1,a2,a3,a4,a6] |
Generators |
[10:280:1] |
Generators of the group modulo torsion |
j |
-9356716174635361/1277667084000 |
j-invariant |
L |
10.622039192961 |
L(r)(E,1)/r! |
Ω |
0.83310883558437 |
Real period |
R |
0.16999842420365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73530j1 122550k1 |
Quadratic twists by: -3 5 |