Atkin-Lehner |
2- 7+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10234h |
Isogeny class |
Conductor |
10234 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-2292416 = -1 · 26 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3 1 7+ 0 1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-177,-863] |
[a1,a2,a3,a4,a6] |
j |
-610015948641/2292416 |
j-invariant |
L |
7.8550988927747 |
L(r)(E,1)/r! |
Ω |
0.65459157439789 |
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 |
81872be1 92106q1 71638w1 |
Quadratic twists by: -4 -3 -7 |