Atkin-Lehner |
2- 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ex |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-342119700000000 = -1 · 28 · 36 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 1 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1570,889197] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:411:1] [-81:515:1] |
Generators of the group modulo torsion |
j |
1503815/1201408 |
j-invariant |
L |
16.183235459774 |
L(r)(E,1)/r! |
Ω |
0.42145206690257 |
Real period |
R |
0.39998705102636 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350g1 111150bo1 |
Quadratic twists by: -3 5 |