Atkin-Lehner |
2- 3+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62016cg |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
226234368 = 212 · 32 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -2 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-153,153] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:24:1] |
Generators of the group modulo torsion |
j |
97336000/55233 |
j-invariant |
L |
6.4731546279624 |
L(r)(E,1)/r! |
Ω |
1.5199062853134 |
Real period |
R |
1.0647292353412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016cx1 31008j1 |
Quadratic twists by: -4 8 |