Atkin-Lehner |
2+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9350p |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1.4229305728E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11- -6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3079201,-2087881452] |
[a1,a2,a3,a4,a6] |
j |
-1653132209544118997/7285404532736 |
j-invariant |
L |
0.68363894334467 |
L(r)(E,1)/r! |
Ω |
0.056969911945389 |
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 |
74800cv1 84150gh1 9350bk1 102850dd1 |
Quadratic twists by: -4 -3 5 -11 |