Atkin-Lehner |
3+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72963c |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.4696758620351E+22 |
Discriminant |
Eigenvalues |
-1 3+ -2 2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20662346,-35017135568] |
[a1,a2,a3,a4,a6] |
Generators |
[-1630818:-1086047:729] |
Generators of the group modulo torsion |
j |
27977904161173539/995042203859 |
j-invariant |
L |
3.0363944374853 |
L(r)(E,1)/r! |
Ω |
0.070966436280188 |
Real period |
R |
3.5655287643625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72963a2 6633b2 |
Quadratic twists by: -3 -11 |