Atkin-Lehner |
2+ 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
107690d |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33177600 |
Modular degree for the optimal curve |
Δ |
1.7876488033803E+22 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-397779759,-3053626276318] |
[a1,a2,a3,a4,a6] |
j |
3929123145025705846673089/10090811456000000 |
j-invariant |
L |
0.13522259602596 |
L(r)(E,1)/r! |
Ω |
0.033805623602923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790l1 |
Quadratic twists by: -11 |