Atkin-Lehner |
11- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9361a |
Isogeny class |
Conductor |
9361 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.3357538573281E+21 |
Discriminant |
Eigenvalues |
0 1 3 2 11- 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2460171,-940504415] |
[a1,a2,a3,a4,a6] |
Generators |
[13045:1500405:1] |
Generators of the group modulo torsion |
j |
1646718710261360139173888/1335753857328050448299 |
j-invariant |
L |
5.4043224640206 |
L(r)(E,1)/r! |
Ω |
0.084523621941761 |
Real period |
R |
5.3282170710261 |
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 |
84249e2 102971b2 |
Quadratic twists by: -3 -11 |