Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536b |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-312263424 = -1 · 28 · 34 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11+ 0 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52,880] |
[a1,a2,a3,a4,a6] |
j |
-61918288/1219779 |
j-invariant |
L |
2.8953337489514 |
L(r)(E,1)/r! |
Ω |
1.4476668744757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768l2 78144cz2 58608q2 |
Quadratic twists by: -4 8 -3 |