Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720n |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2509717163212800 = 228 · 39 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35532,914544] |
[a1,a2,a3,a4,a6] |
Generators |
[228:2160:1] |
Generators of the group modulo torsion |
j |
961504803/486400 |
j-invariant |
L |
4.0902273706851 |
L(r)(E,1)/r! |
Ω |
0.40427580947289 |
Real period |
R |
2.5293545116442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720dd1 1710a1 54720g1 |
Quadratic twists by: -4 8 -3 |