Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720et |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
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 |
[2:380:1] |
Generators of the group modulo torsion |
j |
-5988775936/9774075 |
j-invariant |
L |
7.4343048085703 |
L(r)(E,1)/r! |
Ω |
0.66687030965984 |
Real period |
R |
0.69675324242739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720bm1 13680g1 18240bu1 |
Quadratic twists by: -4 8 -3 |