Atkin-Lehner |
3- 5+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100485s |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-2291923758714146865 = -1 · 39 · 5 · 72 · 117 · 293 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,286425,-42782094] |
[a1,a2,a3,a4,a6] |
Generators |
[1482:59550:1] |
Generators of the group modulo torsion |
j |
3564741943895302799/3143928338428185 |
j-invariant |
L |
6.9198614926748 |
L(r)(E,1)/r! |
Ω |
0.14251140558647 |
Real period |
R |
0.28902705381623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33495q1 |
Quadratic twists by: -3 |