Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536g |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
50290336698624 = 28 · 34 · 116 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-590964,-174662496] |
[a1,a2,a3,a4,a6] |
Generators |
[404376:9492120:343] |
Generators of the group modulo torsion |
j |
89159486481392095312/196446627729 |
j-invariant |
L |
3.8709297133948 |
L(r)(E,1)/r! |
Ω |
0.1721905425554 |
Real period |
R |
7.4935004287462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9768p2 78144ct2 58608f2 |
Quadratic twists by: -4 8 -3 |