Atkin-Lehner |
3+ 5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745c |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
-6.8461409567951E+21 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4596372,1208922158] |
[a1,a2,a3,a4,a6] |
Generators |
[4402:326714:1] |
Generators of the group modulo torsion |
j |
545604483845385879552/347819994756649625 |
j-invariant |
L |
4.3692693859443 |
L(r)(E,1)/r! |
Ω |
0.082800088102974 |
Real period |
R |
0.87948163019061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101745j1 |
Quadratic twists by: -3 |