Atkin-Lehner |
3- 5- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
40545j |
Isogeny class |
Conductor |
40545 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-246310875 = -1 · 37 · 53 · 17 · 53 |
Discriminant |
Eigenvalues |
-2 3- 5- 0 -3 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1227,16560] |
[a1,a2,a3,a4,a6] |
Generators |
[23:22:1] [20:-5:1] |
Generators of the group modulo torsion |
j |
-280239837184/337875 |
j-invariant |
L |
5.0311845758061 |
L(r)(E,1)/r! |
Ω |
1.7496579207513 |
Real period |
R |
0.23962705872085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13515d1 |
Quadratic twists by: -3 |