Atkin-Lehner |
5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
126025d |
Isogeny class |
Conductor |
126025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30528 |
Modular degree for the optimal curve |
Δ |
-630125 = -1 · 53 · 712 |
Discriminant |
Eigenvalues |
1 -3 5- 3 4 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22,61] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
-1917 |
j-invariant |
L |
4.5706405860451 |
L(r)(E,1)/r! |
Ω |
2.6854324327259 |
Real period |
R |
0.85100642949909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000117215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126025g1 126025e1 |
Quadratic twists by: 5 -71 |