Atkin-Lehner |
2+ 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432d |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-33340785408 = -1 · 28 · 33 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -5 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28289,-1821987] |
[a1,a2,a3,a4,a6] |
j |
-83131122688/1107 |
j-invariant |
L |
0.36812358541515 |
L(r)(E,1)/r! |
Ω |
0.18406174446279 |
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 |
48216f1 1968c1 |
Quadratic twists by: -4 -7 |