Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64575br |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
272640 |
Modular degree for the optimal curve |
Δ |
-1716282421875 = -1 · 37 · 58 · 72 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-529500,148302031] |
[a1,a2,a3,a4,a6] |
Generators |
[421:31:1] |
Generators of the group modulo torsion |
j |
-57654610493440/6027 |
j-invariant |
L |
5.2645961552319 |
L(r)(E,1)/r! |
Ω |
0.64733831624985 |
Real period |
R |
2.0331703001302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21525r1 64575p1 |
Quadratic twists by: -3 5 |