Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650em |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-833575050000000 = -1 · 27 · 39 · 58 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27680,-2245053] |
[a1,a2,a3,a4,a6] |
j |
-8236063705/2927232 |
j-invariant |
L |
5.0909909125325 |
L(r)(E,1)/r! |
Ω |
0.18182110401928 |
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 |
11550q1 34650u1 |
Quadratic twists by: -3 5 |