Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575bf |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2.0202897525445E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 6 7 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,661720,-62133528] |
[a1,a2,a3,a4,a6] |
Generators |
[67946148602:2967290787285:356400829] |
Generators of the group modulo torsion |
j |
2813193182704463/1773642581109 |
j-invariant |
L |
4.6764727514182 |
L(r)(E,1)/r! |
Ω |
0.12426651009317 |
Real period |
R |
18.816303555607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21525j1 2583c1 |
Quadratic twists by: -3 5 |