Atkin-Lehner |
3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
92925j |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-15877107421875 = -1 · 39 · 59 · 7 · 59 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -3 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3450,-206969] |
[a1,a2,a3,a4,a6] |
Generators |
[85:337:1] |
Generators of the group modulo torsion |
j |
-398688256/1393875 |
j-invariant |
L |
3.0312400358896 |
L(r)(E,1)/r! |
Ω |
0.2859786648212 |
Real period |
R |
1.3249415100853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30975a1 18585k1 |
Quadratic twists by: -3 5 |