Atkin-Lehner |
2+ 3- 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25194k |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
12992 |
Modular degree for the optimal curve |
Δ |
-477527076 = -1 · 22 · 37 · 132 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -4 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-105,1120] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:-36:1] [5:-30:1] |
Generators of the group modulo torsion |
j |
-126279339913/477527076 |
j-invariant |
L |
5.7915739668188 |
L(r)(E,1)/r! |
Ω |
1.4512985512117 |
Real period |
R |
0.1425219691797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75582bf1 |
Quadratic twists by: -3 |