Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330j |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6.8727463870561E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1548654,625813460] |
[a1,a2,a3,a4,a6] |
Generators |
[1031:10632:1] |
Generators of the group modulo torsion |
j |
177381177331203/29679104000 |
j-invariant |
L |
5.7713078547076 |
L(r)(E,1)/r! |
Ω |
0.18637014088757 |
Real period |
R |
1.2902880228727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330dc1 8190b3 |
Quadratic twists by: -3 -7 |