Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ho |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
1560 |
Product of Tamagawa factors cp |
deg |
13178880 |
Modular degree for the optimal curve |
Δ |
1.4671822001293E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-183641305,956027915303] |
[a1,a2,a3,a4,a6] |
Generators |
[7061:-106920:1] |
Generators of the group modulo torsion |
j |
167214863032952734406639296/358198779328437056625 |
j-invariant |
L |
8.9184022643699 |
L(r)(E,1)/r! |
Ω |
0.08520470659468 |
Real period |
R |
0.26838538651346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000695 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920fp1 36960a1 |
Quadratic twists by: -4 8 |