Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188bd |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-11945615616 = -1 · 28 · 36 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 1 4 11- 3 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,-5258] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1764:1] |
Generators of the group modulo torsion |
j |
176/529 |
j-invariant |
L |
9.3225490932045 |
L(r)(E,1)/r! |
Ω |
0.58891602001925 |
Real period |
R |
3.9575036062125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11132d1 100188be1 |
Quadratic twists by: -3 -11 |