Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470dy |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
61931520 |
Modular degree for the optimal curve |
Δ |
2.6817822198598E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-484341188,3259682557031] |
[a1,a2,a3,a4,a6] |
Generators |
[-24443:715261:1] |
Generators of the group modulo torsion |
j |
3571003510905229697089/762141946675200000 |
j-invariant |
L |
8.5255789001923 |
L(r)(E,1)/r! |
Ω |
0.042977762129506 |
Real period |
R |
2.7551648121267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490bk1 8190v1 |
Quadratic twists by: -3 13 |