Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898bp |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-2445582161550814 = -1 · 2 · 117 · 137 |
Discriminant |
Eigenvalues |
2- 2 -1 -3 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-426,2379125] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:12347:8] |
Generators of the group modulo torsion |
j |
-1/286 |
j-invariant |
L |
10.934864865333 |
L(r)(E,1)/r! |
Ω |
0.36496139873125 |
Real period |
R |
3.7452128168029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718b1 3146e1 |
Quadratic twists by: -11 13 |