Atkin-Lehner |
2- 3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59202u |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-6389496197246448 = -1 · 24 · 310 · 11 · 133 · 234 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52601,6042377] |
[a1,a2,a3,a4,a6] |
Generators |
[990:9023:8] |
Generators of the group modulo torsion |
j |
-22078544784814153/8764741011312 |
j-invariant |
L |
8.056959303702 |
L(r)(E,1)/r! |
Ω |
0.39721460723051 |
Real period |
R |
2.5354553800523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19734j1 |
Quadratic twists by: -3 |