Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13464r |
Isogeny class |
Conductor |
13464 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
443771716608 = 210 · 36 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1783395,916683534] |
[a1,a2,a3,a4,a6] |
Generators |
[643:5984:1] |
Generators of the group modulo torsion |
j |
840308702533978500/594473 |
j-invariant |
L |
4.7850515101485 |
L(r)(E,1)/r! |
Ω |
0.58171562663948 |
Real period |
R |
1.3709595350427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26928k1 107712bg1 1496a1 |
Quadratic twists by: -4 8 -3 |