Atkin-Lehner |
2+ 3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050p |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1484715024000 = 27 · 32 · 53 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1232160,-526953600] |
[a1,a2,a3,a4,a6] |
Generators |
[49737:-1612708:27] |
Generators of the group modulo torsion |
j |
1655066956257229073021/11877720192 |
j-invariant |
L |
3.426162740338 |
L(r)(E,1)/r! |
Ω |
0.14329555948164 |
Real period |
R |
5.9774405304897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150fa2 37050cs2 |
Quadratic twists by: -3 5 |