Atkin-Lehner |
3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55233f |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172368 |
Modular degree for the optimal curve |
Δ |
-15742069287291 = -1 · 39 · 17 · 196 |
Discriminant |
Eigenvalues |
-2 3+ 1 -2 3 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9747,416684] |
[a1,a2,a3,a4,a6] |
Generators |
[63:229:1] |
Generators of the group modulo torsion |
j |
-110592/17 |
j-invariant |
L |
3.6342680725308 |
L(r)(E,1)/r! |
Ω |
0.67374133856526 |
Real period |
R |
2.6970796242675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55233c1 153d1 |
Quadratic twists by: -3 -19 |