Atkin-Lehner |
3- 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110925bz |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-224623125 = -1 · 36 · 54 · 17 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- -3 2 -6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,722] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:25:1] [3:25:1] |
Generators of the group modulo torsion |
j |
-25/493 |
j-invariant |
L |
6.6600404978998 |
L(r)(E,1)/r! |
Ω |
1.4131294038772 |
Real period |
R |
0.78549547344216 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999956433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12325h1 110925o1 |
Quadratic twists by: -3 5 |