Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
93654t |
Isogeny class |
Conductor |
93654 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-16889177530469376 = -1 · 210 · 39 · 117 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 11- -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63729,-8784099] |
[a1,a2,a3,a4,a6] |
j |
-22164361129/13077504 |
j-invariant |
L |
2.3404726545148 |
L(r)(E,1)/r! |
Ω |
0.14627952397391 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31218s1 8514g1 |
Quadratic twists by: -3 -11 |