Atkin-Lehner |
3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80937q |
Isogeny class |
Conductor |
80937 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-92282655859335477 = -1 · 313 · 17 · 237 |
Discriminant |
Eigenvalues |
1 3- 0 2 -3 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,80838,-11654523] |
[a1,a2,a3,a4,a6] |
j |
541343375/855117 |
j-invariant |
L |
1.430196613306 |
L(r)(E,1)/r! |
Ω |
0.17877457097173 |
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 |
26979k1 3519d1 |
Quadratic twists by: -3 -23 |