Atkin-Lehner |
2+ 3- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
104310w |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.9784637069051E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4363378389,-27983495887227] |
[a1,a2,a3,a4,a6] |
Generators |
[672265705617322038:130392016508992948281:7482383093879] |
Generators of the group modulo torsion |
j |
12602735245632398162217295310929/6829168322229270058468695600 |
j-invariant |
L |
3.1809171910571 |
L(r)(E,1)/r! |
Ω |
0.019802326630491 |
Real period |
R |
20.079188455697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34770z2 |
Quadratic twists by: -3 |