Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352bf |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-4549708787712 = -1 · 212 · 3 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11- -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2581,-113507] |
[a1,a2,a3,a4,a6] |
Generators |
[436554:1908775:5832] |
Generators of the group modulo torsion |
j |
-262144/627 |
j-invariant |
L |
9.3608892051603 |
L(r)(E,1)/r! |
Ω |
0.31249536119788 |
Real period |
R |
7.4888225633098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999954798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6897e1 10032m1 |
Quadratic twists by: -4 -11 |