Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720bh |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-206794321920 = -1 · 212 · 312 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492,-21472] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1296:1] |
Generators of the group modulo torsion |
j |
4410944/69255 |
j-invariant |
L |
5.4299685587394 |
L(r)(E,1)/r! |
Ω |
0.48915566992092 |
Real period |
R |
2.7751740869842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720p1 27360m1 18240v1 |
Quadratic twists by: -4 8 -3 |