Atkin-Lehner |
2- 3- 7+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bn |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1519616 |
Modular degree for the optimal curve |
Δ |
76517203602034944 = 28 · 313 · 7 · 29 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-129371,12017931] |
[a1,a2,a3,a4,a6] |
Generators |
[-301:5010:1] |
Generators of the group modulo torsion |
j |
328476150195017833/104961870510336 |
j-invariant |
L |
5.0209849397987 |
L(r)(E,1)/r! |
Ω |
0.31788294441499 |
Real period |
R |
1.9743843465621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000127191 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37758c1 |
Quadratic twists by: -3 |