Atkin-Lehner |
2+ 3+ 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
92106k |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
366336 |
Modular degree for the optimal curve |
Δ |
-615176648952768 = -1 · 26 · 33 · 73 · 176 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38382,3140244] |
[a1,a2,a3,a4,a6] |
j |
-231605631981970875/22784320331584 |
j-invariant |
L |
1.0036511492533 |
L(r)(E,1)/r! |
Ω |
0.50182549807643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
92106bj3 |
Quadratic twists by: -3 |