Atkin-Lehner |
3+ 5- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38595d |
Isogeny class |
Conductor |
38595 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
3318279192543890625 = 3 · 56 · 318 · 83 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-388895,-32291668] |
[a1,a2,a3,a4,a6] |
Generators |
[52772:12095776:1] |
Generators of the group modulo torsion |
j |
6504603977592164461681/3318279192543890625 |
j-invariant |
L |
3.4695652752676 |
L(r)(E,1)/r! |
Ω |
0.20187022144339 |
Real period |
R |
5.7290359625808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115785h1 |
Quadratic twists by: -3 |