Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280a |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-5572075821465600000 = -1 · 236 · 33 · 55 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1003308,403139632] |
[a1,a2,a3,a4,a6] |
Generators |
[10029:999533:1] |
Generators of the group modulo torsion |
j |
-15780576012359283/787251200000 |
j-invariant |
L |
7.1460373410598 |
L(r)(E,1)/r! |
Ω |
0.23799207277511 |
Real period |
R |
7.5065917702306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280de1 2790r1 89280m1 |
Quadratic twists by: -4 8 -3 |