Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930t |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1.3851971792992E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,180148,176706384] |
[a1,a2,a3,a4,a6] |
j |
5495662324535111/117739817533440 |
j-invariant |
L |
1.3351885716265 |
L(r)(E,1)/r! |
Ω |
0.16689857145332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790ed1 570d1 |
Quadratic twists by: -3 -7 |