Atkin-Lehner |
3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72963k |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430848 |
Modular degree for the optimal curve |
Δ |
-6313368287283849 = -1 · 38 · 118 · 672 |
Discriminant |
Eigenvalues |
1 3- 3 0 11- 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86598,-10505687] |
[a1,a2,a3,a4,a6] |
Generators |
[953179305792:6586171891105:2588282117] |
Generators of the group modulo torsion |
j |
-459601153/40401 |
j-invariant |
L |
10.32338988639 |
L(r)(E,1)/r! |
Ω |
0.13845846811764 |
Real period |
R |
18.639867295113 |
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 |
24321f1 72963m1 |
Quadratic twists by: -3 -11 |