Atkin-Lehner |
3- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
18135k |
Isogeny class |
Conductor |
18135 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
6615168 |
Modular degree for the optimal curve |
Δ |
-1.1320350191163E+25 |
Discriminant |
Eigenvalues |
0 3- 5- -3 3 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-896625012,10335170988265] |
[a1,a2,a3,a4,a6] |
j |
-109352504158564666761216262144/15528601085272278046875 |
j-invariant |
L |
1.9385830040781 |
L(r)(E,1)/r! |
Ω |
0.069235107288504 |
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 |
6045a1 90675bd1 |
Quadratic twists by: -3 5 |