Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920dr |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
Δ |
1.0844744714496E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1118545,426504143] |
[a1,a2,a3,a4,a6] |
Generators |
[-619:29700:1] |
Generators of the group modulo torsion |
j |
9446361110552374864/661910688140625 |
j-invariant |
L |
9.1089302937271 |
L(r)(E,1)/r! |
Ω |
0.22320949682111 |
Real period |
R |
0.34007402696576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000892 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920fg2 9240r2 |
Quadratic twists by: -4 8 |