Atkin-Lehner |
2- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
71540l |
Isogeny class |
Conductor |
71540 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-8429739370757600000 = -1 · 28 · 55 · 711 · 732 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 1 -3 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3005,139688975] |
[a1,a2,a3,a4,a6] |
Generators |
[170:12005:1] |
Generators of the group modulo torsion |
j |
-99672064/279889071875 |
j-invariant |
L |
7.8881123221387 |
L(r)(E,1)/r! |
Ω |
0.18488207106874 |
Real period |
R |
1.0666410588674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10220c1 |
Quadratic twists by: -7 |