Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930cj |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
119 |
Product of Tamagawa factors cp |
deg |
8168160 |
Modular degree for the optimal curve |
Δ |
-8.409545320512E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-107931146,-433881279721] |
[a1,a2,a3,a4,a6] |
j |
-2837709913983947389297630321/17162337388800000000000 |
j-invariant |
L |
2.785946855552 |
L(r)(E,1)/r! |
Ω |
0.023411318113876 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83790co1 27930di1 |
Quadratic twists by: -3 -7 |