Atkin-Lehner |
2- 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410z |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
524288 |
Modular degree for the optimal curve |
Δ |
-151768904377500 = -1 · 22 · 38 · 54 · 194 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1822,-592419] |
[a1,a2,a3,a4,a6] |
Generators |
[958:8751:8] |
Generators of the group modulo torsion |
j |
918046641959/208187797500 |
j-invariant |
L |
11.836916896199 |
L(r)(E,1)/r! |
Ω |
0.27201054892213 |
Real period |
R |
2.7197743249234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470p1 |
Quadratic twists by: -3 |