Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616dh |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9934848 |
Modular degree for the optimal curve |
Δ |
-1.5010190025295E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101120859,-391833187830] |
[a1,a2,a3,a4,a6] |
Generators |
[137423969705420781285691666224230683774383880854302533429:-21406247389925900969427748849827745703227762255042358558720:4852119612683432882463395171624944991370254882515897] |
Generators of the group modulo torsion |
j |
-35148950502093/46137344 |
j-invariant |
L |
8.0529247827128 |
L(r)(E,1)/r! |
Ω |
0.023802643711084 |
Real period |
R |
84.58015085127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702bj1 77616dx1 77616dj1 |
Quadratic twists by: -4 -3 -7 |