Atkin-Lehner |
2+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918f |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6730560 |
Modular degree for the optimal curve |
Δ |
-8.2002487359787E+21 |
Discriminant |
Eigenvalues |
2+ 2 -3 7+ 2 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3320471,-3680784891] |
[a1,a2,a3,a4,a6] |
Generators |
[4413334358243764499931:81592358449218913497831:4651834479769468783] |
Generators of the group modulo torsion |
j |
660368840687/1337491456 |
j-invariant |
L |
4.7130210560131 |
L(r)(E,1)/r! |
Ω |
0.068290232230948 |
Real period |
R |
34.507285317718 |
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 |
85918bf1 |
Quadratic twists by: -19 |