Atkin-Lehner |
3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64575w |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-37087146854296875 = -1 · 39 · 58 · 76 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -3 4 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2220825,-1273887594] |
[a1,a2,a3,a4,a6] |
Generators |
[1724:4630:1] |
Generators of the group modulo torsion |
j |
-106345513067032576/3255936075 |
j-invariant |
L |
2.983762619424 |
L(r)(E,1)/r! |
Ω |
0.061835827475461 |
Real period |
R |
3.0158109201509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21525x1 12915n1 |
Quadratic twists by: -3 5 |