Atkin-Lehner |
3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4263c |
Isogeny class |
Conductor |
4263 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
210289527 = 36 · 73 · 292 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-151,106] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:32:1] |
Generators of the group modulo torsion |
j |
1121622319/613089 |
j-invariant |
L |
3.2472213400167 |
L(r)(E,1)/r! |
Ω |
1.5480086785074 |
Real period |
R |
1.0488382220014 |
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 |
68208ct2 12789h2 106575cg2 4263f2 |
Quadratic twists by: -4 -3 5 -7 |