Atkin-Lehner |
3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
125775v |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-7392504234375 = -1 · 39 · 56 · 13 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1580,133422] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-345:1] |
Generators of the group modulo torsion |
j |
-38272753/648999 |
j-invariant |
L |
4.2232679488036 |
L(r)(E,1)/r! |
Ω |
0.62713361617959 |
Real period |
R |
0.8417799321075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41925c1 5031d1 |
Quadratic twists by: -3 5 |