Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720l |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-52533416816640 = -1 · 212 · 39 · 5 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 6 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25812,-1633824] |
[a1,a2,a3,a4,a6] |
Generators |
[661:16435:1] |
Generators of the group modulo torsion |
j |
-23590516032/651605 |
j-invariant |
L |
6.6443400547714 |
L(r)(E,1)/r! |
Ω |
0.18802112942759 |
Real period |
R |
4.4172828307604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720h1 27360q1 54720e1 |
Quadratic twists by: -4 8 -3 |