Atkin-Lehner |
2+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20416c |
Isogeny class |
Conductor |
20416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7360 |
Modular degree for the optimal curve |
Δ |
-592064 = -1 · 26 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3 -1 4 11- -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-148,-694] |
[a1,a2,a3,a4,a6] |
j |
-5601816576/9251 |
j-invariant |
L |
5.4745840741416 |
L(r)(E,1)/r! |
Ω |
0.6843230092677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20416e1 319a1 |
Quadratic twists by: -4 8 |