Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400dx |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2066715000000000 = -1 · 29 · 310 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-2187250] |
[a1,a2,a3,a4,a6] |
Generators |
[265:-4050:1] [454:9558:1] |
Generators of the group modulo torsion |
j |
-8/354375 |
j-invariant |
L |
9.4780384511652 |
L(r)(E,1)/r! |
Ω |
0.21306745562563 |
Real period |
R |
5.5604681762266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400dg2 100800nt3 16800j4 10080m4 |
Quadratic twists by: -4 8 -3 5 |