Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162cc |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10368000 |
Modular degree for the optimal curve |
Δ |
-2.0808261957227E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11- -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-236694173,1401678234245] |
[a1,a2,a3,a4,a6] |
j |
-1135540872025530818401/1611210069216 |
j-invariant |
L |
2.4961234633379 |
L(r)(E,1)/r! |
Ω |
0.12480617312857 |
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 |
21054q1 5742f1 |
Quadratic twists by: -3 -11 |