Atkin-Lehner |
2- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40040j |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
111964160 |
Modular degree for the optimal curve |
Δ |
-9.8268191092349E+31 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2908665144,473104546086400] |
[a1,a2,a3,a4,a6] |
Generators |
[18559140616673225632520656059048:7899832288064671537808351426567293:140611510902821352110295552] |
Generators of the group modulo torsion |
j |
2657693749933615014304306591964/95965030363622338932998359375 |
j-invariant |
L |
2.886686580541 |
L(r)(E,1)/r! |
Ω |
0.014315206636037 |
Real period |
R |
50.412939434516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80080h1 |
Quadratic twists by: -4 |