Atkin-Lehner |
2- 3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93060d |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1363968 |
Modular degree for the optimal curve |
Δ |
374875488281250000 = 24 · 33 · 516 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-396312,-91399491] |
[a1,a2,a3,a4,a6] |
Generators |
[-27228:28875:64] |
Generators of the group modulo torsion |
j |
15934984051467091968/867767333984375 |
j-invariant |
L |
9.3492887949466 |
L(r)(E,1)/r! |
Ω |
0.19092415697955 |
Real period |
R |
3.0605375361904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93060c1 |
Quadratic twists by: -3 |