Atkin-Lehner |
3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
72963f |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-345507717214539 = -1 · 37 · 119 · 67 |
Discriminant |
Eigenvalues |
0 3- -1 -1 11+ 1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,15972,442890] |
[a1,a2,a3,a4,a6] |
Generators |
[0:665:1] |
Generators of the group modulo torsion |
j |
262144/201 |
j-invariant |
L |
3.7797369299689 |
L(r)(E,1)/r! |
Ω |
0.34581786848022 |
Real period |
R |
1.3662310696159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24321l1 72963e1 |
Quadratic twists by: -3 -11 |