Atkin-Lehner |
2- 3- 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774ch |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
745472 |
Modular degree for the optimal curve |
Δ |
109311497698788 = 22 · 313 · 74 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11+ -6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27428,-1667581] |
[a1,a2,a3,a4,a6] |
Generators |
[2262:27845:8] |
Generators of the group modulo torsion |
j |
3130139995106041/149947184772 |
j-invariant |
L |
14.172509464236 |
L(r)(E,1)/r! |
Ω |
0.37208332515435 |
Real period |
R |
4.7612014911631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27258t1 |
Quadratic twists by: -3 |