Atkin-Lehner |
2- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55738y |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
905905700864 = 220 · 29 · 313 |
Discriminant |
Eigenvalues |
2- -2 -3 -4 -2 -6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2872,-37824] |
[a1,a2,a3,a4,a6] |
Generators |
[80:-536:1] [-40:136:1] |
Generators of the group modulo torsion |
j |
87943022623/30408704 |
j-invariant |
L |
7.1830330785996 |
L(r)(E,1)/r! |
Ω |
0.67056694385056 |
Real period |
R |
0.26779701655679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55738q1 |
Quadratic twists by: -31 |