Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16560m |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-150147009504000 = -1 · 28 · 36 · 53 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -6 -2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13212,-76788] |
[a1,a2,a3,a4,a6] |
Generators |
[9:207:1] |
Generators of the group modulo torsion |
j |
1366664500224/804542875 |
j-invariant |
L |
3.9222029553999 |
L(r)(E,1)/r! |
Ω |
0.33950381060999 |
Real period |
R |
1.1552750905366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8280t1 66240fw1 1840b1 82800o1 |
Quadratic twists by: -4 8 -3 5 |