Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800o |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
3024000000 = 210 · 33 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-600,5000] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:100:1] |
Generators of the group modulo torsion |
j |
55296/7 |
j-invariant |
L |
6.2724338763728 |
L(r)(E,1)/r! |
Ω |
1.3733743287816 |
Real period |
R |
1.1417924741448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999764473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ka1 12600b1 100800p1 4032c1 |
Quadratic twists by: -4 8 -3 5 |