Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520ci |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5778432 |
Modular degree for the optimal curve |
Δ |
-5.6987381117695E+21 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -3 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3557535,2552487937] |
[a1,a2,a3,a4,a6] |
Generators |
[1069:87040:1] |
Generators of the group modulo torsion |
j |
1118413511/1280000 |
j-invariant |
L |
3.9836870021671 |
L(r)(E,1)/r! |
Ω |
0.090005473627779 |
Real period |
R |
2.7662810961115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998952671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520s1 28880p1 115520ct1 |
Quadratic twists by: -4 8 -19 |