Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800f |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-92685937500000000 = -1 · 28 · 33 · 514 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 13- 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7575,14649750] |
[a1,a2,a3,a4,a6] |
j |
-445090032/858203125 |
j-invariant |
L |
3.268946564093 |
L(r)(E,1)/r! |
Ω |
0.27241221369006 |
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 |
23400d1 46800h1 9360a1 |
Quadratic twists by: -4 -3 5 |