Atkin-Lehner |
3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
58989f |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3633714008873739 = -1 · 320 · 7 · 533 |
Discriminant |
Eigenvalues |
-2 3+ 3 7+ 3 4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-19804,3098868] |
[a1,a2,a3,a4,a6] |
j |
-5770012921856/24407490807 |
j-invariant |
L |
1.5453657138049 |
L(r)(E,1)/r! |
Ω |
0.38634142861459 |
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 |
58989o2 |
Quadratic twists by: 53 |