Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
28200b |
Isogeny class |
Conductor |
28200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
33303636000000 = 28 · 311 · 56 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 5 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114433,14935237] |
[a1,a2,a3,a4,a6] |
j |
41430613746688/8325909 |
j-invariant |
L |
2.5481876197337 |
L(r)(E,1)/r! |
Ω |
0.63704690493348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56400o1 84600bm1 1128g1 |
Quadratic twists by: -4 -3 5 |