Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
71100ba |
Isogeny class |
Conductor |
71100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
9718481250000 = 24 · 39 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16500,-801875] |
[a1,a2,a3,a4,a6] |
Generators |
[-542:567:8] |
Generators of the group modulo torsion |
j |
109035520/2133 |
j-invariant |
L |
7.3477177472994 |
L(r)(E,1)/r! |
Ω |
0.42173995992556 |
Real period |
R |
4.3555973138148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23700s1 71100r1 |
Quadratic twists by: -3 5 |