Atkin-Lehner |
3- 5- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745bj |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1570500347317965 = 310 · 5 · 74 · 17 · 194 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-333797,74287536] |
[a1,a2,a3,a4,a6] |
Generators |
[344:111:1] |
Generators of the group modulo torsion |
j |
5642119125900778249/2154321464085 |
j-invariant |
L |
4.0042928919775 |
L(r)(E,1)/r! |
Ω |
0.46717016372733 |
Real period |
R |
1.0714224683019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33915b4 |
Quadratic twists by: -3 |