Atkin-Lehner |
3- 7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37107p |
Isogeny class |
Conductor |
37107 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
750270956677263 = 38 · 73 · 192 · 314 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 2 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26735,1052696] |
[a1,a2,a3,a4,a6] |
Generators |
[162:-1058:1] |
Generators of the group modulo torsion |
j |
2898821808051625/1029178267047 |
j-invariant |
L |
3.6749505000493 |
L(r)(E,1)/r! |
Ω |
0.46388987345933 |
Real period |
R |
0.3300846736751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12369k2 |
Quadratic twists by: -3 |