Atkin-Lehner |
5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12925a |
Isogeny class |
Conductor |
12925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-45940296875 = -1 · 56 · 113 · 472 |
Discriminant |
Eigenvalues |
-2 1 5+ -4 11+ 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,892,1444] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:23:1] |
Generators of the group modulo torsion |
j |
5017776128/2940179 |
j-invariant |
L |
2.0404356558092 |
L(r)(E,1)/r! |
Ω |
0.68797590415744 |
Real period |
R |
1.4829266864427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116325ba1 517a1 |
Quadratic twists by: -3 5 |