Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650ek |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-491163750 = -1 · 2 · 36 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-830,-9053] |
[a1,a2,a3,a4,a6] |
j |
-138630825/1078 |
j-invariant |
L |
5.3348293602807 |
L(r)(E,1)/r! |
Ω |
0.44456911335674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3850l1 34650t1 |
Quadratic twists by: -3 5 |