Atkin-Lehner |
2- 3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23664m |
Isogeny class |
Conductor |
23664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
83200 |
Modular degree for the optimal curve |
Δ |
-93364371173376 = -1 · 212 · 313 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 -5 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4357,479341] |
[a1,a2,a3,a4,a6] |
Generators |
[44:609:1] |
Generators of the group modulo torsion |
j |
-2233706549248/22794035931 |
j-invariant |
L |
3.2023638154033 |
L(r)(E,1)/r! |
Ω |
0.51297108315492 |
Real period |
R |
3.1213882424989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1479g1 94656cg1 70992bc1 |
Quadratic twists by: -4 8 -3 |