Atkin-Lehner |
2+ 3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502t |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21004852344301098 = 2 · 37 · 7 · 138 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1700811,854149779] |
[a1,a2,a3,a4,a6] |
j |
746387736968472436657/28813240527162 |
j-invariant |
L |
2.8732765439771 |
L(r)(E,1)/r! |
Ω |
0.35915956801668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15834v5 |
Quadratic twists by: -3 |