Atkin-Lehner |
2- 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
71100o |
Isogeny class |
Conductor |
71100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-6219828000000 = -1 · 28 · 39 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2625,-108250] |
[a1,a2,a3,a4,a6] |
Generators |
[31:54:1] [55:450:1] |
Generators of the group modulo torsion |
j |
686000/2133 |
j-invariant |
L |
10.583020569745 |
L(r)(E,1)/r! |
Ω |
0.38579017820914 |
Real period |
R |
1.1430026354028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23700d1 2844d1 |
Quadratic twists by: -3 5 |