Atkin-Lehner |
2- 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
53950be |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
141240 |
Modular degree for the optimal curve |
Δ |
-863200000000 = -1 · 211 · 58 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 0 5- 2 4 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38305,-2876303] |
[a1,a2,a3,a4,a6] |
j |
-15911805014145/2209792 |
j-invariant |
L |
5.6307584794634 |
L(r)(E,1)/r! |
Ω |
0.17062904482074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53950c1 |
Quadratic twists by: 5 |