Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150j |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.0506918467315E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2574225,-309328875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1390:24895:1] |
Generators of the group modulo torsion |
j |
120737856347074599697/67244278190817024 |
j-invariant |
L |
4.4389828623879 |
L(r)(E,1)/r! |
Ω |
0.12787531294844 |
Real period |
R |
1.446390354803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046j2 |
Quadratic twists by: 5 |