Atkin-Lehner |
2+ 3+ 7+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518a |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
370944 |
Modular degree for the optimal curve |
Δ |
57345413948424 = 23 · 33 · 77 · 193 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 2 -7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10074,-134324] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:233:1] |
Generators of the group modulo torsion |
j |
4187839577566203/2123904220312 |
j-invariant |
L |
4.0736320706114 |
L(r)(E,1)/r! |
Ω |
0.50281199784973 |
Real period |
R |
4.050850076557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112518r1 |
Quadratic twists by: -3 |