Atkin-Lehner |
2+ 3- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810bp |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-46947775667458050 = -1 · 2 · 38 · 52 · 72 · 112 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,87201,-3253257] |
[a1,a2,a3,a4,a6] |
Generators |
[687:-19851:1] |
Generators of the group modulo torsion |
j |
100590687957552911/64400240970450 |
j-invariant |
L |
5.1040581624202 |
L(r)(E,1)/r! |
Ω |
0.20532593333699 |
Real period |
R |
0.51788171038445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999536912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cg2 |
Quadratic twists by: -3 |