Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872bo |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
205632 |
Modular degree for the optimal curve |
Δ |
-99090132194869248 = -1 · 214 · 3 · 1710 |
Discriminant |
Eigenvalues |
2- 3- -4 3 -4 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27840,-15259596] |
[a1,a2,a3,a4,a6] |
Generators |
[8570:793248:1] |
Generators of the group modulo torsion |
j |
-289/12 |
j-invariant |
L |
4.3227638352209 |
L(r)(E,1)/r! |
Ω |
0.14719457095883 |
Real period |
R |
7.3419213206411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1734k1 55488cy1 41616cq1 13872bc1 |
Quadratic twists by: -4 8 -3 17 |