Atkin-Lehner |
5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
126025g |
Isogeny class |
Conductor |
126025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
152640 |
Modular degree for the optimal curve |
Δ |
-9845703125 = -1 · 59 · 712 |
Discriminant |
Eigenvalues |
-1 3 5- -3 4 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-555,7072] |
[a1,a2,a3,a4,a6] |
Generators |
[-312:3080:27] |
Generators of the group modulo torsion |
j |
-1917 |
j-invariant |
L |
7.9976754511454 |
L(r)(E,1)/r! |
Ω |
1.2009618937116 |
Real period |
R |
3.3296957981335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998858739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126025d1 126025f1 |
Quadratic twists by: 5 -71 |