Atkin-Lehner |
2+ 3- 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
92862w |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2043348077232 = 24 · 38 · 74 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51759,4544829] |
[a1,a2,a3,a4,a6] |
Generators |
[138:-195:1] [-198:2745:1] |
Generators of the group modulo torsion |
j |
21035775860145649/2802946608 |
j-invariant |
L |
6.2994410316761 |
L(r)(E,1)/r! |
Ω |
0.79750548582405 |
Real period |
R |
0.49368320529364 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30954be2 |
Quadratic twists by: -3 |