Atkin-Lehner |
5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15725d |
Isogeny class |
Conductor |
15725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
20884765625 = 59 · 172 · 37 |
Discriminant |
Eigenvalues |
1 0 5+ 4 4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-178216667,-915692083384] |
[a1,a2,a3,a4,a6] |
Generators |
[55357846354713470208646669007877140105079733326155139037561225163806936610917085754336498272308251284:35967711702101676824113507038614011765035344413300454538376204286134542691601730762223303703625853373933:130799305666697893998428215842958818595465843639894592084646398465980723550234618119703379966016] |
Generators of the group modulo torsion |
j |
40063477130081021954528001/1336625 |
j-invariant |
L |
6.5027119651417 |
L(r)(E,1)/r! |
Ω |
0.041320205737655 |
Real period |
R |
157.37365894129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3145c3 |
Quadratic twists by: 5 |