Atkin-Lehner |
2+ 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282q |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
1.2962603769195E+28 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64990940337,6377174354342745] |
[a1,a2,a3,a4,a6] |
Generators |
[174984:18956715:1] |
Generators of the group modulo torsion |
j |
41644211735243824844300349069444625/17781349477633537250793492 |
j-invariant |
L |
4.2279369084507 |
L(r)(E,1)/r! |
Ω |
0.032467044662384 |
Real period |
R |
8.1389008308535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
17094y6 |
Quadratic twists by: -3 |