Atkin-Lehner |
2- 3- 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31842v |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2774016 |
Modular degree for the optimal curve |
Δ |
-9.9884330284836E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 1 7 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1691671,-4733726871] |
[a1,a2,a3,a4,a6] |
Generators |
[1523:36300:1] |
Generators of the group modulo torsion |
j |
734419395093928663223/13701554222885538624 |
j-invariant |
L |
6.3860632018708 |
L(r)(E,1)/r! |
Ω |
0.062747137998017 |
Real period |
R |
4.2406072250343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10614a1 |
Quadratic twists by: -3 |