Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720bd |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-181547827200 = -1 · 219 · 36 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,852,-18128] |
[a1,a2,a3,a4,a6] |
Generators |
[21:95:1] |
Generators of the group modulo torsion |
j |
357911/950 |
j-invariant |
L |
6.2309942059127 |
L(r)(E,1)/r! |
Ω |
0.52121240967237 |
Real period |
R |
2.9887019621563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54720dk1 1710q1 6080i1 |
Quadratic twists by: -4 8 -3 |