Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300k |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-2.6858497917797E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,661467,760600062] |
[a1,a2,a3,a4,a6] |
Generators |
[-543:15525:1] |
Generators of the group modulo torsion |
j |
72268906496/606436875 |
j-invariant |
L |
5.4143403375454 |
L(r)(E,1)/r! |
Ω |
0.12740246451574 |
Real period |
R |
3.5414937210505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108900bw1 7260n1 3300e1 |
Quadratic twists by: -3 5 -11 |