Atkin-Lehner |
2+ 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9338b |
Isogeny class |
Conductor |
9338 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
727552 |
Modular degree for the optimal curve |
Δ |
-8.678105922371E+20 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10803361,13736209509] |
[a1,a2,a3,a4,a6] |
j |
-139444195316122186685933977/867810592237096964848 |
j-invariant |
L |
2.2242383751649 |
L(r)(E,1)/r! |
Ω |
0.15887416965463 |
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 |
74704k1 84042bw1 65366f1 |
Quadratic twists by: -4 -3 -7 |