Atkin-Lehner |
3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94221c |
Isogeny class |
Conductor |
94221 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
14796619125977817 = 39 · 197 · 292 |
Discriminant |
Eigenvalues |
1 3+ -4 -4 -6 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-98079,10296944] |
[a1,a2,a3,a4,a6] |
j |
112678587/15979 |
j-invariant |
L |
0.75799834644635 |
L(r)(E,1)/r! |
Ω |
0.37899919261378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94221f1 4959b1 |
Quadratic twists by: -3 -19 |