Atkin-Lehner |
5+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
73255f |
Isogeny class |
Conductor |
73255 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2822400 |
Modular degree for the optimal curve |
Δ |
-7.9755508270137E+20 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- -5 13+ -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2187361,-1843180340] |
[a1,a2,a3,a4,a6] |
Generators |
[5031:335860:1] |
Generators of the group modulo torsion |
j |
-4097365609164961/2823451206875 |
j-invariant |
L |
3.1412938634093 |
L(r)(E,1)/r! |
Ω |
0.060230360998548 |
Real period |
R |
8.6924429542882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73255l1 |
Quadratic twists by: -7 |