Atkin-Lehner |
2- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
55738n |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
3359160 |
Modular degree for the optimal curve |
Δ |
-4.9847667937652E+22 |
Discriminant |
Eigenvalues |
2- 0 0 2 2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4906205,-9895282205] |
[a1,a2,a3,a4,a6] |
Generators |
[105691:34314738:1] |
Generators of the group modulo torsion |
j |
15934701375/60817408 |
j-invariant |
L |
10.350097579507 |
L(r)(E,1)/r! |
Ω |
0.05724362763268 |
Real period |
R |
8.6098979026593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55738s1 |
Quadratic twists by: -31 |