Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440a |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-575078400 = -1 · 216 · 33 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,-1232] |
[a1,a2,a3,a4,a6] |
Generators |
[24:100:1] |
Generators of the group modulo torsion |
j |
-78732/325 |
j-invariant |
L |
5.2910543507717 |
L(r)(E,1)/r! |
Ω |
0.67470260101578 |
Real period |
R |
1.9605135443402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440cw1 4680c1 37440o1 |
Quadratic twists by: -4 8 -3 |