Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73206bo |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2684928 |
Modular degree for the optimal curve |
Δ |
-3.3234546791952E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1588063,419107007] |
[a1,a2,a3,a4,a6] |
Generators |
[-132890:14408511:1000] |
Generators of the group modulo torsion |
j |
1771354569918566177/1329131994863058 |
j-invariant |
L |
10.384384228436 |
L(r)(E,1)/r! |
Ω |
0.10940811888885 |
Real period |
R |
7.909516781348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24402g1 73206bf1 |
Quadratic twists by: -3 -7 |