Atkin-Lehner |
2+ 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610d |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15949440 |
Modular degree for the optimal curve |
Δ |
-1.6171125223327E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 4 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12894697,7535026803] |
[a1,a2,a3,a4,a6] |
Generators |
[-110641469852871375566609:1906106338587805885087678:196310448348325328051] |
Generators of the group modulo torsion |
j |
1719980649806159/1173023511750 |
j-invariant |
L |
4.8611017587003 |
L(r)(E,1)/r! |
Ω |
0.064426432444974 |
Real period |
R |
37.725988963087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610cb1 |
Quadratic twists by: 13 |