Atkin-Lehner |
2- 3- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37884p |
Isogeny class |
Conductor |
37884 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-2.1230062378922E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3199988,2311054020] |
[a1,a2,a3,a4,a6] |
Generators |
[-473:60984:1] |
Generators of the group modulo torsion |
j |
-14155621171764479314000/829299311676630333 |
j-invariant |
L |
7.7675898400614 |
L(r)(E,1)/r! |
Ω |
0.1752318881386 |
Real period |
R |
2.4626383558166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
113652r1 |
Quadratic twists by: -3 |