Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
43197o |
Isogeny class |
Conductor |
43197 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
68640 |
Modular degree for the optimal curve |
Δ |
-1279440841371 = -1 · 3 · 72 · 116 · 173 |
Discriminant |
Eigenvalues |
-2 3- 1 7- 11- -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2380,31862] |
[a1,a2,a3,a4,a6] |
Generators |
[0:178:1] |
Generators of the group modulo torsion |
j |
841232384/722211 |
j-invariant |
L |
3.9573974026389 |
L(r)(E,1)/r! |
Ω |
0.55859084546536 |
Real period |
R |
1.180768068664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129591t1 357c1 |
Quadratic twists by: -3 -11 |