Atkin-Lehner |
2- 3- 7+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bn |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.1979801774401E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,311449,-983581293] |
[a1,a2,a3,a4,a6] |
Generators |
[3147:174936:1] |
Generators of the group modulo torsion |
j |
4583089236846777047/575854619676278292 |
j-invariant |
L |
5.0209849397987 |
L(r)(E,1)/r! |
Ω |
0.079470736103748 |
Real period |
R |
7.8975373862483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000508765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37758c3 |
Quadratic twists by: -3 |