Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17400bb |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-37040793750000 = -1 · 24 · 35 · 58 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 -3 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100908,12374937] |
[a1,a2,a3,a4,a6] |
Generators |
[152:725:1] |
Generators of the group modulo torsion |
j |
-454532354823424/148163175 |
j-invariant |
L |
3.3911521331621 |
L(r)(E,1)/r! |
Ω |
0.63677253696106 |
Real period |
R |
0.44379428240657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34800bf1 52200h1 3480g1 |
Quadratic twists by: -4 -3 5 |