Atkin-Lehner |
3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169y |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-38347046368884099 = -1 · 310 · 710 · 112 · 19 |
Discriminant |
Eigenvalues |
2 3- -1 7- 11+ -2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7203,9424525] |
[a1,a2,a3,a4,a6] |
j |
-200704/186219 |
j-invariant |
L |
1.1769487609373 |
L(r)(E,1)/r! |
Ω |
0.29423725667991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30723r1 92169e1 |
Quadratic twists by: -3 -7 |