Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800h |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
47250000000000 = 210 · 33 · 512 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13200,481000] |
[a1,a2,a3,a4,a6] |
Generators |
[110:600:1] |
Generators of the group modulo torsion |
j |
588791808/109375 |
j-invariant |
L |
4.7825178793602 |
L(r)(E,1)/r! |
Ω |
0.60546088595025 |
Real period |
R |
1.9747427080341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800js1 6300b1 100800g3 20160j1 |
Quadratic twists by: -4 8 -3 5 |