Atkin-Lehner |
2- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
69580q |
Isogeny class |
Conductor |
69580 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2213200640 = -1 · 28 · 5 · 73 · 712 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -3 5 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-485,4535] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:71:1] |
Generators of the group modulo torsion |
j |
-143982592/25205 |
j-invariant |
L |
8.2694786065599 |
L(r)(E,1)/r! |
Ω |
1.4060202518471 |
Real period |
R |
1.4703697538689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69580k1 |
Quadratic twists by: -7 |