Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096bd |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-342068729729384448 = -1 · 217 · 39 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 3 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74888,-29199120] |
[a1,a2,a3,a4,a6] |
Generators |
[2697876:163603936:729] |
Generators of the group modulo torsion |
j |
-1967079625/14486688 |
j-invariant |
L |
5.3194770811141 |
L(r)(E,1)/r! |
Ω |
0.1277044171963 |
Real period |
R |
10.413651300961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6762k1 54096dd1 |
Quadratic twists by: -4 -7 |