Atkin-Lehner |
3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
112437g |
Isogeny class |
Conductor |
112437 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
681280663171797 = 310 · 13 · 316 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-601286,-179306008] |
[a1,a2,a3,a4,a6] |
Generators |
[75081:3746864:27] |
Generators of the group modulo torsion |
j |
37159393753/1053 |
j-invariant |
L |
2.346398204683 |
L(r)(E,1)/r! |
Ω |
0.17144707355376 |
Real period |
R |
6.8429229910608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999837797 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37479d4 117a4 |
Quadratic twists by: -3 -31 |