Atkin-Lehner |
2- 3- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4674f |
Isogeny class |
Conductor |
4674 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10923138 = -1 · 2 · 32 · 192 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38,-186] |
[a1,a2,a3,a4,a6] |
Generators |
[390:2511:8] |
Generators of the group modulo torsion |
j |
-6078390625/10923138 |
j-invariant |
L |
6.3460134292224 |
L(r)(E,1)/r! |
Ω |
0.90684285562718 |
Real period |
R |
3.4989598196886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37392k2 14022a2 116850c2 88806e2 |
Quadratic twists by: -4 -3 5 -19 |