Atkin-Lehner |
3- 13- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
83421w |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-3.6448055756576E+21 |
Discriminant |
Eigenvalues |
-1 3- 2 2 2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1437269,2979772940] |
[a1,a2,a3,a4,a6] |
Generators |
[28458:4782478:1] |
Generators of the group modulo torsion |
j |
-450412128076665737737/4999733299941782103 |
j-invariant |
L |
5.7825707905929 |
L(r)(E,1)/r! |
Ω |
0.11930979145546 |
Real period |
R |
2.4233429305583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27807m1 |
Quadratic twists by: -3 |