Atkin-Lehner |
3- 5+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205x |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1.7497495257906E+37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-751971647610,-149968967472423909] |
[a1,a2,a3,a4,a6] |
Generators |
[973978:203410761:1] |
Generators of the group modulo torsion |
j |
64506069848205887098542725755352748961/24002051108238518228131304260453125 |
j-invariant |
L |
7.1821511221753 |
L(r)(E,1)/r! |
Ω |
0.0052880511144645 |
Real period |
R |
7.0738798129203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999750411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735o6 |
Quadratic twists by: -3 |