Atkin-Lehner |
2+ 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
10234f |
Isogeny class |
Conductor |
10234 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-101803663732736 = -1 · 212 · 76 · 173 · 43 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 6 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1380,485730] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1503:1] |
Generators of the group modulo torsion |
j |
-290341089840313/101803663732736 |
j-invariant |
L |
3.2721555601741 |
L(r)(E,1)/r! |
Ω |
0.48535175809293 |
Real period |
R |
0.56181856863142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81872n2 92106cg2 71638j2 |
Quadratic twists by: -4 -3 -7 |