Atkin-Lehner |
2+ 3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550g |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.1806485242578E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5969150,-2046775500] |
[a1,a2,a3,a4,a6] |
Generators |
[-396:16170:1] |
Generators of the group modulo torsion |
j |
1505363138332645936609/755615055525000000 |
j-invariant |
L |
3.649376369302 |
L(r)(E,1)/r! |
Ω |
0.10178566098157 |
Real period |
R |
2.2408463123298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510p4 |
Quadratic twists by: 5 |