Atkin-Lehner |
2+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
114464a |
Isogeny class |
Conductor |
114464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
549656128 = 26 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1225,-16464] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:6:1] [779:21720:1] |
Generators of the group modulo torsion |
j |
27000000/73 |
j-invariant |
L |
11.476093833355 |
L(r)(E,1)/r! |
Ω |
0.80711627672578 |
Real period |
R |
14.21863759564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114464b1 2336a1 |
Quadratic twists by: -4 -7 |