Atkin-Lehner |
3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4263c |
Isogeny class |
Conductor |
4263 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
268569 = 33 · 73 · 29 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-116,435] |
[a1,a2,a3,a4,a6] |
Generators |
[10:15:1] |
Generators of the group modulo torsion |
j |
510082399/783 |
j-invariant |
L |
3.2472213400167 |
L(r)(E,1)/r! |
Ω |
3.0960173570147 |
Real period |
R |
2.0976764440027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68208ct1 12789h1 106575cg1 4263f1 |
Quadratic twists by: -4 -3 5 -7 |