Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600n |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-4113504000 = -1 · 28 · 35 · 53 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,252,2592] |
[a1,a2,a3,a4,a6] |
j |
55087216/128547 |
j-invariant |
L |
1.9330943961663 |
L(r)(E,1)/r! |
Ω |
0.96654719808353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13800bd1 110400ja1 82800cd1 27600bc1 |
Quadratic twists by: -4 8 -3 5 |