Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400bh |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1858631250000 = 24 · 3 · 58 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9283,-341062] |
[a1,a2,a3,a4,a6] |
Generators |
[1034:6375:8] |
Generators of the group modulo torsion |
j |
353912203264/7434525 |
j-invariant |
L |
6.9749004347002 |
L(r)(E,1)/r! |
Ω |
0.48699935013268 |
Real period |
R |
3.5805491493106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bd1 |
Quadratic twists by: 5 |