Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192bh |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-15559434174464 = -1 · 218 · 172 · 593 |
Discriminant |
Eigenvalues |
2+ -3 -1 1 0 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4052,-161744] |
[a1,a2,a3,a4,a6] |
Generators |
[248:4012:1] |
Generators of the group modulo torsion |
j |
28066748319/59354531 |
j-invariant |
L |
3.6130544919303 |
L(r)(E,1)/r! |
Ω |
0.36332075242058 |
Real period |
R |
0.82871091819841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192ck1 1003c1 |
Quadratic twists by: -4 8 |