Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720a |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
-72062300160 = -1 · 212 · 33 · 5 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 6 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2868,-60512] |
[a1,a2,a3,a4,a6] |
Generators |
[356:6636:1] |
Generators of the group modulo torsion |
j |
-23590516032/651605 |
j-invariant |
L |
6.1434217496807 |
L(r)(E,1)/r! |
Ω |
0.32566214906506 |
Real period |
R |
4.7161005410207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720e1 27360t1 54720h1 |
Quadratic twists by: -4 8 -3 |