Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848bd |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-2.479770804282E+23 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 11- 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5957556,-23295822176] |
[a1,a2,a3,a4,a6] |
Generators |
[2178:3388:1] |
Generators of the group modulo torsion |
j |
36534162368/387420489 |
j-invariant |
L |
4.6663144563263 |
L(r)(E,1)/r! |
Ω |
0.048606978187449 |
Real period |
R |
4.0000381892447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34848ci1 69696cz1 11616be1 34848cj1 |
Quadratic twists by: -4 8 -3 -11 |