Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bu |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1851310080 = -1 · 214 · 36 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3648,-84832] |
[a1,a2,a3,a4,a6] |
Generators |
[496886397:6165699175:2803221] |
Generators of the group modulo torsion |
j |
-449511424/155 |
j-invariant |
L |
4.6854457398696 |
L(r)(E,1)/r! |
Ω |
0.30714741769054 |
Real period |
R |
15.254713076924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280ei1 5580f1 9920n1 |
Quadratic twists by: -4 8 -3 |