Atkin-Lehner |
2- 3+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650bu |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.3791564321806E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2669978,-1656885769] |
[a1,a2,a3,a4,a6] |
Generators |
[12031:1300823:1] |
Generators of the group modulo torsion |
j |
16839793358756085422069/270332514574445808 |
j-invariant |
L |
8.4653194225697 |
L(r)(E,1)/r! |
Ω |
0.11822117155764 |
Real period |
R |
8.9507227331678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58650bg2 |
Quadratic twists by: 5 |