Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950fd |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
331164288000 = 210 · 37 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6260,190167] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-195:1] |
Generators of the group modulo torsion |
j |
297676210733/3634176 |
j-invariant |
L |
8.4204684346746 |
L(r)(E,1)/r! |
Ω |
0.96636883680877 |
Real period |
R |
0.21783785118949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650p1 40950ci1 |
Quadratic twists by: -3 5 |