Atkin-Lehner |
11- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
88451f |
Isogeny class |
Conductor |
88451 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-88451 = -1 · 112 · 17 · 43 |
Discriminant |
Eigenvalues |
2 -3 -3 -3 11- 3 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,11,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-3:8] |
Generators of the group modulo torsion |
j |
1216512/731 |
j-invariant |
L |
5.1329869551129 |
L(r)(E,1)/r! |
Ω |
1.9789309813792 |
Real period |
R |
2.5938180791793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88451d1 |
Quadratic twists by: -11 |