Atkin-Lehner |
2- 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352cn |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
1224960 |
Modular degree for the optimal curve |
Δ |
-114583566953149632 = -1 · 26 · 33 · 1311 · 37 |
Discriminant |
Eigenvalues |
2- 3- 4 2 -3 13- -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92709,-12101373] |
[a1,a2,a3,a4,a6] |
j |
1376907430053400064/1790368233642963 |
j-invariant |
L |
5.8612652557391 |
L(r)(E,1)/r! |
Ω |
0.17761409703859 |
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 |
92352by1 46176q1 |
Quadratic twists by: -4 8 |