Atkin-Lehner |
2- 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
108150ck |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
deg |
406425600 |
Modular degree for the optimal curve |
Δ |
-3.080692663802E+31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 1 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20316868313,1146177554194617] |
[a1,a2,a3,a4,a6] |
Generators |
[110992:16022629:1] |
Generators of the group modulo torsion |
j |
-59357278846535938263086629454281/1971643304833288128000000000 |
j-invariant |
L |
14.094072635757 |
L(r)(E,1)/r! |
Ω |
0.020762909419674 |
Real period |
R |
0.35354692689552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21630b1 |
Quadratic twists by: 5 |