Atkin-Lehner |
3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64575c |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1424726296875 = -1 · 33 · 56 · 72 · 413 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -3 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3750,105406] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:437:1] [-26:430:1] |
Generators of the group modulo torsion |
j |
-13824000000/3377129 |
j-invariant |
L |
8.2801618546177 |
L(r)(E,1)/r! |
Ω |
0.81251512118183 |
Real period |
R |
0.42461578246186 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64575a2 2583b1 |
Quadratic twists by: -3 5 |