Atkin-Lehner |
2+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115192l |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
-125990577754232576 = -1 · 28 · 711 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 11- 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32388,-16918816] |
[a1,a2,a3,a4,a6] |
Generators |
[964:30184:1] |
Generators of the group modulo torsion |
j |
1002425229872/33614554631 |
j-invariant |
L |
5.1910236685442 |
L(r)(E,1)/r! |
Ω |
0.15896324115559 |
Real period |
R |
0.49478026221559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999522221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115192y1 |
Quadratic twists by: -11 |