Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
546c |
Isogeny class |
Conductor |
546 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
193444524 = 22 · 312 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1957,33140] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:260:1] |
Generators of the group modulo torsion |
j |
828279937799497/193444524 |
j-invariant |
L |
1.6107831676244 |
L(r)(E,1)/r! |
Ω |
1.7445566570829 |
Real period |
R |
0.61554632847439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4368t3 17472a3 1638q3 13650bw3 |
Quadratic twists by: -4 8 -3 5 |