Atkin-Lehner |
5- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
73255l |
Isogeny class |
Conductor |
73255 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-6779106347706875 = -1 · 54 · 74 · 135 · 233 |
Discriminant |
Eigenvalues |
-1 -1 5- 7+ -5 13- 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44640,5354572] |
[a1,a2,a3,a4,a6] |
Generators |
[-274:-20797:8] [-148:3031:1] |
Generators of the group modulo torsion |
j |
-4097365609164961/2823451206875 |
j-invariant |
L |
5.5730305786196 |
L(r)(E,1)/r! |
Ω |
0.38818021587555 |
Real period |
R |
0.07976006948805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73255f1 |
Quadratic twists by: -7 |