Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544w |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-60173358465024 = -1 · 219 · 39 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 3 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96876,-11611728] |
[a1,a2,a3,a4,a6] |
Generators |
[933:26649:1] |
Generators of the group modulo torsion |
j |
-19486825371/11662 |
j-invariant |
L |
8.7133230183458 |
L(r)(E,1)/r! |
Ω |
0.13530066181481 |
Real period |
R |
5.3666422746811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544da2 2142n2 68544q1 |
Quadratic twists by: -4 8 -3 |