Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475bz |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-3328887375 = -1 · 310 · 53 · 11 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11+ 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,288,1971] |
[a1,a2,a3,a4,a6] |
Generators |
[10:71:1] |
Generators of the group modulo torsion |
j |
28934443/36531 |
j-invariant |
L |
6.1909045573909 |
L(r)(E,1)/r! |
Ω |
0.94826706887602 |
Real period |
R |
3.2643253892279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33825bd1 101475cc1 |
Quadratic twists by: -3 5 |