Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200t |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24681024000 = 29 · 36 · 53 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28168,1829032] |
[a1,a2,a3,a4,a6] |
Generators |
[113:276:1] |
Generators of the group modulo torsion |
j |
38621327045608/385641 |
j-invariant |
L |
4.768423963557 |
L(r)(E,1)/r! |
Ω |
1.0804884233267 |
Real period |
R |
2.2066057630415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200bg2 110400jo2 55200cq2 |
Quadratic twists by: -4 8 5 |