Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200de |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-379215000000 = -1 · 26 · 33 · 57 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,242,-29512] |
[a1,a2,a3,a4,a6] |
Generators |
[77:672:1] |
Generators of the group modulo torsion |
j |
1560896/379215 |
j-invariant |
L |
10.359392801814 |
L(r)(E,1)/r! |
Ω |
0.4479075916549 |
Real period |
R |
3.8547358866893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200ca1 25440j1 |
Quadratic twists by: -4 5 |