Atkin-Lehner |
2+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55738k |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8755200 |
Modular degree for the optimal curve |
Δ |
3.0181205196626E+21 |
Discriminant |
Eigenvalues |
2+ -2 -3 -2 -4 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-67533815,-213603432870] |
[a1,a2,a3,a4,a6] |
Generators |
[-4730890:6059029:1000] |
Generators of the group modulo torsion |
j |
38381097689522696233/3400685072384 |
j-invariant |
L |
1.587581304653 |
L(r)(E,1)/r! |
Ω |
0.052664933897768 |
Real period |
R |
3.7681175766053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1798a1 |
Quadratic twists by: -31 |