Atkin-Lehner |
2+ 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116058d |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-685579084024896 = -1 · 26 · 33 · 23 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 -3 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-77389,8349469] |
[a1,a2,a3,a4,a6] |
Generators |
[147:-494:1] |
Generators of the group modulo torsion |
j |
-86175179713/1152576 |
j-invariant |
L |
2.4598490547572 |
L(r)(E,1)/r! |
Ω |
0.511282397792 |
Real period |
R |
0.60139199692486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996631984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4002m1 |
Quadratic twists by: 29 |