Atkin-Lehner |
2+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
400a |
Isogeny class |
Conductor |
400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10000000000 = -1 · 210 · 510 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,325,4250] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:50:1] |
Generators of the group modulo torsion |
j |
237276/625 |
j-invariant |
L |
1.6854886295926 |
L(r)(E,1)/r! |
Ω |
0.90288213072834 |
Real period |
R |
0.93339350299966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
200c4 1600p4 3600p4 80a4 |
Quadratic twists by: -4 8 -3 5 |