Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575bg |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1716282421875 = -1 · 37 · 58 · 72 · 41 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -5 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,63031] |
[a1,a2,a3,a4,a6] |
Generators |
[530:4721:8] |
Generators of the group modulo torsion |
j |
-4096/150675 |
j-invariant |
L |
12.228884576441 |
L(r)(E,1)/r! |
Ω |
0.67004371402722 |
Real period |
R |
2.2813594695334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21525n1 12915h1 |
Quadratic twists by: -3 5 |