Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300o |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-1822217566093750000 = -1 · 24 · 510 · 79 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-683958,-227425787] |
[a1,a2,a3,a4,a6] |
Generators |
[8682:140777:8] |
Generators of the group modulo torsion |
j |
-1924883200/99127 |
j-invariant |
L |
3.5626151321775 |
L(r)(E,1)/r! |
Ω |
0.08275837522172 |
Real period |
R |
5.3810492347564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83300bl1 11900a1 |
Quadratic twists by: 5 -7 |