Atkin-Lehner |
3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43575i |
Isogeny class |
Conductor |
43575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
5882625 = 34 · 53 · 7 · 83 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:65:8] |
Generators of the group modulo torsion |
j |
83453453/47061 |
j-invariant |
L |
5.3103525791102 |
L(r)(E,1)/r! |
Ω |
2.0655126175677 |
Real period |
R |
2.5709610940849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43575r1 |
Quadratic twists by: 5 |