Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550bk |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
62705664 |
Modular degree for the optimal curve |
Δ |
-5.33122208136E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 -2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5828292,1110905825616] |
[a1,a2,a3,a4,a6] |
Generators |
[184488:79149228:1] |
Generators of the group modulo torsion |
j |
-1922206784037612409/46803595776000000000 |
j-invariant |
L |
5.0989957033936 |
L(r)(E,1)/r! |
Ω |
0.041564811845925 |
Real period |
R |
7.6672361430876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000119126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850cl1 23310bu1 |
Quadratic twists by: -3 5 |