Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800k |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
9926634375000000 = 26 · 33 · 511 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-321075,69861500] |
[a1,a2,a3,a4,a6] |
Generators |
[11620:268125:64] |
Generators of the group modulo torsion |
j |
135574940230848/367653125 |
j-invariant |
L |
7.1818079653421 |
L(r)(E,1)/r! |
Ω |
0.40915426446612 |
Real period |
R |
4.3882030519402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800bf1 50400ci2 100800m1 20160l1 |
Quadratic twists by: -4 8 -3 5 |