Atkin-Lehner |
2+ 3- 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
92862g |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
84665628432 = 24 · 37 · 72 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1107,2533] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:137:1] [-18:137:1] |
Generators of the group modulo torsion |
j |
205901592625/116139408 |
j-invariant |
L |
8.2600471046959 |
L(r)(E,1)/r! |
Ω |
0.92998591475666 |
Real period |
R |
1.1102382001425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30954r1 |
Quadratic twists by: -3 |