Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bm |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-7296307891200 = -1 · 210 · 37 · 52 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3432,-151256] |
[a1,a2,a3,a4,a6] |
Generators |
[9092:95535:64] |
Generators of the group modulo torsion |
j |
-5988775936/9774075 |
j-invariant |
L |
7.1683527061161 |
L(r)(E,1)/r! |
Ω |
0.29521222549196 |
Real period |
R |
6.0705079998944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720et1 6840r1 18240y1 |
Quadratic twists by: -4 8 -3 |