Atkin-Lehner |
2- 3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
45264l |
Isogeny class |
Conductor |
45264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-5248999791525888 = -1 · 236 · 34 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3616,-3485952] |
[a1,a2,a3,a4,a6] |
j |
1276229915423/1281494089728 |
j-invariant |
L |
1.6033224163962 |
L(r)(E,1)/r! |
Ω |
0.20041530204419 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5658g1 |
Quadratic twists by: -4 |