Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950en |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-430055835300 = -1 · 22 · 39 · 52 · 75 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11345,-463323] |
[a1,a2,a3,a4,a6] |
Generators |
[215:-2754:1] |
Generators of the group modulo torsion |
j |
-8860001331505/23597028 |
j-invariant |
L |
9.4091068338156 |
L(r)(E,1)/r! |
Ω |
0.23126086271888 |
Real period |
R |
1.0171529591293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650h1 40950bw1 |
Quadratic twists by: -3 5 |