Atkin-Lehner |
2+ 3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430n |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
832000 |
Modular degree for the optimal curve |
Δ |
-4322058750000000000 = -1 · 210 · 38 · 513 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,46701,99936693] |
[a1,a2,a3,a4,a6] |
Generators |
[582:17709:1] |
Generators of the group modulo torsion |
j |
15451458978984911/5928750000000000 |
j-invariant |
L |
3.5392129924809 |
L(r)(E,1)/r! |
Ω |
0.19090759222879 |
Real period |
R |
0.35651692801749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810t1 |
Quadratic twists by: -3 |