Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11700y |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-355702769311968000 = -1 · 28 · 311 · 53 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-545520,157715300] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:15210:1] |
Generators of the group modulo torsion |
j |
-769623354048512/15247889631 |
j-invariant |
L |
4.9426943139882 |
L(r)(E,1)/r! |
Ω |
0.30282207993081 |
Real period |
R |
0.19431079460749 |
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 |
46800fm1 3900g1 11700u1 |
Quadratic twists by: -4 -3 5 |