Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400bm |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5040947520000000 = -1 · 212 · 38 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,39300,-1636000] |
[a1,a2,a3,a4,a6] |
Generators |
[124:2268:1] |
Generators of the group modulo torsion |
j |
143877824/108045 |
j-invariant |
L |
6.9355908501587 |
L(r)(E,1)/r! |
Ω |
0.24137293865798 |
Real period |
R |
1.7958700363998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400dh2 100800fs1 16800bi4 10080bm4 |
Quadratic twists by: -4 8 -3 5 |