Atkin-Lehner |
2- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
65072z |
Isogeny class |
Conductor |
65072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-2132279296 = -1 · 219 · 72 · 83 |
Discriminant |
Eigenvalues |
2- -2 1 7- 4 -5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,320,-204] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-64:1] [300:5214:1] |
Generators of the group modulo torsion |
j |
17999471/10624 |
j-invariant |
L |
7.9475784575235 |
L(r)(E,1)/r! |
Ω |
0.85954658124758 |
Real period |
R |
2.3115613018833 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8134g1 65072l1 |
Quadratic twists by: -4 -7 |