Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
22512f |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-1103088 = -1 · 24 · 3 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -5 -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-264,1743] |
[a1,a2,a3,a4,a6] |
Generators |
[11:7:1] |
Generators of the group modulo torsion |
j |
-127661377792/68943 |
j-invariant |
L |
2.8872001011835 |
L(r)(E,1)/r! |
Ω |
2.7195344169843 |
Real period |
R |
0.35388411623598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11256a1 90048bz1 67536y1 |
Quadratic twists by: -4 8 -3 |