Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400cx |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3150592200000000 = 29 · 38 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-543675,-154273250] |
[a1,a2,a3,a4,a6] |
Generators |
[-145222:44442:343] |
Generators of the group modulo torsion |
j |
3047363673992/540225 |
j-invariant |
L |
5.2356377378949 |
L(r)(E,1)/r! |
Ω |
0.17582042836079 |
Real period |
R |
7.4445810801109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400do4 100800kz4 16800n3 10080z2 |
Quadratic twists by: -4 8 -3 5 |