Atkin-Lehner |
2+ 3+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
37392b |
Isogeny class |
Conductor |
37392 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
272812032 = 211 · 32 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 0 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1768,29200] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:228:1] |
Generators of the group modulo torsion |
j |
298597495250/133209 |
j-invariant |
L |
5.9866999053341 |
L(r)(E,1)/r! |
Ω |
1.7133955159843 |
Real period |
R |
0.87351400325904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18696c2 112176k2 |
Quadratic twists by: -4 -3 |