Atkin-Lehner |
11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
116281d |
Isogeny class |
Conductor |
116281 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
702000 |
Modular degree for the optimal curve |
Δ |
-17294935994776451 = -1 · 117 · 316 |
Discriminant |
Eigenvalues |
2 1 1 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-38760,6962863] |
[a1,a2,a3,a4,a6] |
Generators |
[2555503782:187426922435:474552] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
19.691804940419 |
L(r)(E,1)/r! |
Ω |
0.34365768641242 |
Real period |
R |
14.325159715504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999792528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10571a1 121d1 |
Quadratic twists by: -11 -31 |