Atkin-Lehner |
3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169r |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1655808 |
Modular degree for the optimal curve |
Δ |
1627010395936939629 = 313 · 79 · 113 · 19 |
Discriminant |
Eigenvalues |
0 3- -3 7- 11+ 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-572124,-154847093] |
[a1,a2,a3,a4,a6] |
j |
704018907136/55307043 |
j-invariant |
L |
1.3956425521118 |
L(r)(E,1)/r! |
Ω |
0.17445532574605 |
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 |
30723o1 92169l1 |
Quadratic twists by: -3 -7 |