Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53100b |
Isogeny class |
Conductor |
53100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-80849497140000000 = -1 · 28 · 39 · 57 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 6 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14175,13695750] |
[a1,a2,a3,a4,a6] |
j |
-4000752/1026895 |
j-invariant |
L |
3.346866603111 |
L(r)(E,1)/r! |
Ω |
0.278905550242 |
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 |
53100e1 10620e2 |
Quadratic twists by: -3 5 |