Atkin-Lehner |
2+ 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47658m |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
5346432 |
Modular degree for the optimal curve |
Δ |
-3.1560396731676E+23 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 0 13- -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33697083,-79997368826] |
[a1,a2,a3,a4,a6] |
Generators |
[16258723586:-316678979007:2352637] |
Generators of the group modulo torsion |
j |
-399034499928415597/29761326415872 |
j-invariant |
L |
5.9418984764067 |
L(r)(E,1)/r! |
Ω |
0.03119706656444 |
Real period |
R |
13.604526530296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47658bj1 |
Quadratic twists by: 13 |