Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112632u |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
5216640 |
Modular degree for the optimal curve |
Δ |
-1.5219119079013E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 -3 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3116272,2828500448] |
[a1,a2,a3,a4,a6] |
Generators |
[17087:2222316:1] |
Generators of the group modulo torsion |
j |
-5064278294/2302911 |
j-invariant |
L |
7.9453152290621 |
L(r)(E,1)/r! |
Ω |
0.14094433926533 |
Real period |
R |
2.5623639487286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999958999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112632c1 |
Quadratic twists by: -19 |