Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25800b |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
224653500000000000 = 211 · 35 · 512 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-214408,-30591188] |
[a1,a2,a3,a4,a6] |
Generators |
[4842957:-1306250:9261] |
Generators of the group modulo torsion |
j |
34064240990978/7020421875 |
j-invariant |
L |
3.9262650172631 |
L(r)(E,1)/r! |
Ω |
0.22508195977017 |
Real period |
R |
8.7218562990836 |
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 |
51600z2 77400bb2 5160l2 |
Quadratic twists by: -4 -3 5 |