Atkin-Lehner |
3+ 7+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
59409a |
Isogeny class |
Conductor |
59409 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
277440 |
Modular degree for the optimal curve |
Δ |
-367144014289563 = -1 · 39 · 7 · 23 · 415 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ 4 -1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6819,-945316] |
[a1,a2,a3,a4,a6] |
j |
-1781682504867/18652848361 |
j-invariant |
L |
2.2800188945458 |
L(r)(E,1)/r! |
Ω |
0.22800188970546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59409b1 |
Quadratic twists by: -3 |