Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33516r |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1.9164390779404E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49980,-210666827] |
[a1,a2,a3,a4,a6] |
Generators |
[81858:8277521:8] |
Generators of the group modulo torsion |
j |
-10061824000/13965589323 |
j-invariant |
L |
5.1037560265039 |
L(r)(E,1)/r! |
Ω |
0.09812540937713 |
Real period |
R |
6.5015729092255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172s1 4788a1 |
Quadratic twists by: -3 -7 |