Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5328l |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-95455936512 = -1 · 217 · 39 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 -5 -3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3699,87858] |
[a1,a2,a3,a4,a6] |
Generators |
[39:54:1] |
Generators of the group modulo torsion |
j |
-69426531/1184 |
j-invariant |
L |
4.5057397024073 |
L(r)(E,1)/r! |
Ω |
1.0698501496892 |
Real period |
R |
1.0528903752821 |
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 |
666a1 21312bf1 5328n1 |
Quadratic twists by: -4 8 -3 |