Atkin-Lehner |
2+ 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
53400b |
Isogeny class |
Conductor |
53400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
8010000000000 = 210 · 32 · 510 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5008,10012] |
[a1,a2,a3,a4,a6] |
j |
868327204/500625 |
j-invariant |
L |
2.5142868804832 |
L(r)(E,1)/r! |
Ω |
0.62857172008339 |
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 |
106800r1 10680e1 |
Quadratic twists by: -4 5 |