Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
34608w |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-248070144 = -1 · 214 · 3 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -4 -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-624,5844] |
[a1,a2,a3,a4,a6] |
Generators |
[20:42:1] |
Generators of the group modulo torsion |
j |
-6570725617/60564 |
j-invariant |
L |
7.9954535140747 |
L(r)(E,1)/r! |
Ω |
1.7625101314881 |
Real period |
R |
1.1341003622096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4326k1 103824bq1 |
Quadratic twists by: -4 -3 |