Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24600bi |
Isogeny class |
Conductor |
24600 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-14346720000 = -1 · 28 · 37 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 -4 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-508,7088] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-54:1] [-22:90:1] |
Generators of the group modulo torsion |
j |
-90792400/89667 |
j-invariant |
L |
8.2775471391072 |
L(r)(E,1)/r! |
Ω |
1.1394527519894 |
Real period |
R |
0.086482065776275 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49200m1 73800bl1 24600d1 |
Quadratic twists by: -4 -3 5 |