Atkin-Lehner |
2+ 3- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56610h |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2.9498079778844E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8255574,3884542618] |
[a1,a2,a3,a4,a6] |
Generators |
[-2533:93674:1] |
Generators of the group modulo torsion |
j |
85356782721649101787489/40463758270019531250 |
j-invariant |
L |
4.0904939029778 |
L(r)(E,1)/r! |
Ω |
0.10507752847425 |
Real period |
R |
1.622014225432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999374 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870s3 |
Quadratic twists by: -3 |