Atkin-Lehner |
2- 7+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
109858j |
Isogeny class |
Conductor |
109858 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
308736 |
Modular degree for the optimal curve |
Δ |
-10407099695104 = -1 · 216 · 74 · 19 · 592 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ -3 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11761,513897] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-429:1] [-86:987:1] |
Generators of the group modulo torsion |
j |
-74931876714289/4334485504 |
j-invariant |
L |
11.264755185076 |
L(r)(E,1)/r! |
Ω |
0.71260194063327 |
Real period |
R |
0.16466584380654 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109858t1 |
Quadratic twists by: -7 |