Atkin-Lehner |
2- 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440ci |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.9394504375715E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2628481608936,1640232057139044660] |
[a1,a2,a3,a4,a6] |
Generators |
[292376074335705557110723547044133701916901770317331080327246103158260:2821231248307687106649666810608744181676848934149157431395491095912389010:3139188482399589764668897406735361439872176259815977301722771] |
Generators of the group modulo torsion |
j |
490318852757569888422767256681877393129/717639266985221002500000 |
j-invariant |
L |
8.9661294248952 |
L(r)(E,1)/r! |
Ω |
0.020383754110475 |
Real period |
R |
109.96661086448 |
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 |
14430b3 |
Quadratic twists by: -4 |