Atkin-Lehner |
2- 3+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37392k |
Isogeny class |
Conductor |
37392 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-44741173248 = -1 · 213 · 32 · 192 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-608,11904] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-82:1] |
Generators of the group modulo torsion |
j |
-6078390625/10923138 |
j-invariant |
L |
3.7873824244963 |
L(r)(E,1)/r! |
Ω |
1.0164352103503 |
Real period |
R |
0.93153562222395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4674f2 112176y2 |
Quadratic twists by: -4 -3 |